Michael Renardy - Publications

Affiliations: 
Mathematics Virginia Polytechnic Institute and State University, Blacksburg, VA, United States 
Area:
Mathematics, Applied Mathematics

196 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Maity D, Mitra D, Renardy M. Lack of null controllability of viscoelastic flows Esaim: Control, Optimisation and Calculus of Variations. 25: 60. DOI: 10.1051/Cocv/2018067  0.4
2019 Mitra D, Ramaswamy M, Renardy M. Pure stress modes for linear viscoelastic flows with variable coefficients Zeitschrift FüR Angewandte Mathematik Und Physik. 70. DOI: 10.1007/S00033-019-1140-0  0.421
2018 Chowdhury S, Mitra D, Renardy M. Null Controllability of the Incompressible Stokes Equations in a 2-D Channel Using Normal Boundary Control Evolution Equations and Control Theory. 7: 447-463. DOI: 10.3934/Eect.2018022  0.338
2018 Renardy Y, Renardy M. A singular perturbation study of the Rolie-Poly model Journal of Non-Newtonian Fluid Mechanics. 262: 52-67. DOI: 10.1016/J.Jnnfm.2018.02.006  0.392
2018 Mitra D, Ramaswamy M, Renardy M. Approximate controllability results for viscoelastic flows with infinitely many relaxation modes Journal of Differential Equations. 264: 575-603. DOI: 10.1016/J.Jde.2017.09.016  0.397
2017 Bresch D, Renardy M. Development of congestion in compressible flow with singular pressure Asymptotic Analysis. 103: 95-101. DOI: 10.3233/Asy-171421  0.33
2017 Lukáčová-Medviďová M, Mizerová H, Nečasová Š, Renardy M. Global Existence Result for the Generalized Peterlin Viscoelastic Model Siam Journal On Mathematical Analysis. 49: 2950-2964. DOI: 10.1137/16M1068505  0.418
2017 Mitra D, Renardy M. Interior local null controllability for multi-dimensional compressible flow near a constant state Nonlinear Analysis: Real World Applications. 37: 94-136. DOI: 10.1016/J.Nonrwa.2017.02.013  0.418
2017 Renardy M. The Rayleigh problem for a yield stress fluid with spurt Journal of Non-Newtonian Fluid Mechanics. 248: 23-26. DOI: 10.1016/J.Jnnfm.2017.08.011  0.35
2017 Renardy Y, Renardy M. Stability of shear banded flow for a viscoelastic constitutive model with thixotropic yield stress behavior Journal of Non-Newtonian Fluid Mechanics. 244: 57-74. DOI: 10.1016/J.Jnnfm.2017.04.005  0.388
2016 Renardy M, Renardy Y. Thixotropy in yield stress fluids as a limit of viscoelasticity Ima Journal of Applied Mathematics. 81: 522-537. DOI: 10.1093/Imamat/Hxw031  0.412
2016 Renardy M, Wang T. Development of shear bands for a model of a thixotropic yield stress fluid Journal of Non-Newtonian Fluid Mechanics. 233: 5-12. DOI: 10.1016/J.Jnnfm.2015.10.004  0.335
2016 Chowdhury S, Mitra D, Ramaswamy M, Renardy M. Approximate Controllability Results for Linear Viscoelastic Flows Journal of Mathematical Fluid Mechanics. 19: 529-549. DOI: 10.1007/S00021-016-0292-3  0.446
2016 Mitra D, Ramaswamy M, Renardy M. Interior local null controllability of one-dimensional compressible flow near a constant steady state Mathematical Methods in the Applied Sciences. 40: 3445-3478. DOI: 10.1002/Mma.4238  0.362
2015 Renardy M. A backward uniqueness result for the wave equation with absorbing boundary conditions Evolution Equations and Control Theory. 4: 347-353. DOI: 10.3934/Eect.2015.4.347  0.383
2015 Renardy M. Backward uniqueness for linearized compressible flow Evolution Equations and Control Theory. 4: 107-113. DOI: 10.3934/Eect.2015.4.107  0.397
2015 Renardy M, Wang T. Large amplitude oscillatory shear flows for a model of a thixotropic yield stress fluid Journal of Non-Newtonian Fluid Mechanics. 222: 1-17. DOI: 10.1016/J.Jnnfm.2014.04.006  0.354
2014 Renardy M. Korteweg stresses and admissibility criteria for shear banded flows Journal of Non-Newtonian Fluid Mechanics. 213: 68-72. DOI: 10.1016/J.Jnnfm.2014.09.012  0.391
2014 Chowdhury S, Mitra D, Ramaswamy M, Renardy M. Null controllability of the linearized compressible Navier Stokes system in one dimension Journal of Differential Equations. 257: 3813-3849. DOI: 10.1016/J.Jde.2014.07.010  0.366
2014 Renardy M. Prandtl boundary layers for the Phan-Thien Tanner and Giesekus fluid Zeitschrift Fur Angewandte Mathematik Und Physik. 66: 1061-1070. DOI: 10.1007/S00033-014-0428-3  0.384
2014 Renardy M, Wang X. Well-posedness of boundary layer equations for time-dependent flow of non-newtonian fluids Journal of Mathematical Fluid Mechanics. 16: 179-191. DOI: 10.1007/S00021-013-0150-5  0.475
2014 Renardy M. The initial value problem for creeping flow of the upper convected Maxwell fluid at high Weissenberg number Mathematical Methods in the Applied Sciences. 38: 959-965. DOI: 10.1002/Mma.3121  0.489
2013 Renardy M. On the eigenfunctions for Hookean and FENE dumbbell models Journal of Rheology. 57: 1311-1324. DOI: 10.1122/1.4816631  0.391
2013 Renardy M. On non-existence of steady periodic solutions of the Prandtl equations Journal of Fluid Mechanics. 717: R71-R75. DOI: 10.1017/Jfm.2013.21  0.411
2013 Renardy M. Well-Posedness of the Prandtl Boundary Layer Equations for the Upper Convected Maxwell Fluid Journal of Dynamics and Differential Equations. 1-8. DOI: 10.1007/S10884-013-9323-4  0.389
2013 Olivier J, Renardy M. On the Generalization of the Hébraud-Lequeux Model to Multidimensional Flows Archive For Rational Mechanics and Analysis. 208: 569-601. DOI: 10.1007/S00205-012-0603-7  0.316
2013 Bresch D, Renardy M. Kelvin-Helmholtz instability with a free surface Zeitschrift Fur Angewandte Mathematik Und Physik. 64: 905-915. DOI: 10.1007/S00033-012-0270-4  0.386
2012 Renardy M, Wang X. Boundary layers for the upper convected Maxwell fluid Journal of Non-Newtonian Fluid Mechanics. 189: 14-18. DOI: 10.1016/J.Jnnfm.2012.09.010  0.354
2012 Renardy M. Well-posedness of the hydrostatic MHD equations Journal of Mathematical Fluid Mechanics. 14: 355-361. DOI: 10.1007/S00021-011-0073-Y  0.477
2011 Hagen T, Renardy M. Non-failure of filaments and global existence for the equations of fiber spinning Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 76: 834-846. DOI: 10.1093/Imamat/Hxq052  0.335
2011 Bresch D, Renardy M. Well-posedness of two-layer shallow-water flow between two horizontal rigid plates Nonlinearity. 24: 1081-1088. DOI: 10.1088/0951-7715/24/4/004  0.373
2011 Laadj T, Renardy M. Initial value problems for creeping flow of Maxwell fluids Nonlinear Analysis, Theory, Methods and Applications. 74: 3614-3632. DOI: 10.1016/J.Na.2011.03.010  0.718
2011 Balci N, Thomases B, Renardy M, Doering CR. Symmetric factorization of the conformation tensor in viscoelastic fluid models Journal of Non-Newtonian Fluid Mechanics. 166: 546-553. DOI: 10.1016/J.Jnnfm.2011.02.008  0.39
2011 Renardy M. Stability of steady flows for multi-mode Maxwell fluids Journal of Evolution Equations. 11: 847-860. DOI: 10.1007/S00028-011-0114-2  0.443
2011 Renardy M. On hydrostatic free surface problems Journal of Mathematical Fluid Mechanics. 13: 89-93. DOI: 10.1007/S00021-009-0002-5  0.387
2011 Kaffel A, Renardy M. Surface modes in inviscid free surface shear flows Zamm Zeitschrift Fur Angewandte Mathematik Und Mechanik. 91: 649-652. DOI: 10.1002/Zamm.201000165  0.342
2011 Wang X, Renardy M. Well-posedness of the upper convected Maxwell fluid in the limit of infinite Weissenberg number Mathematical Methods in the Applied Sciences. 34: 125-139. DOI: 10.1002/Mma.1335  0.384
2010 Kaffel A, Renardy M. On the stability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers Journal of Non-Newtonian Fluid Mechanics. 165: 1670-1676. DOI: 10.1016/J.Jnnfm.2010.09.004  0.469
2010 Renardy M. The mathematics of myth: Yield stress behavior as a limit of non-monotone constitutive theories Journal of Non-Newtonian Fluid Mechanics. 165: 519-526. DOI: 10.1016/J.Jnnfm.2010.02.010  0.321
2010 Savelev E, Renardy M. Control of homogeneous shear flow of multimode Maxwell fluids Journal of Non-Newtonian Fluid Mechanics. 165: 136-142. DOI: 10.1016/J.Jnnfm.2009.10.006  0.455
2010 Renardy M. On the high Weissenberg number limit of the upper convected Maxwell fluid Journal of Non-Newtonian Fluid Mechanics. 165: 70-74. DOI: 10.1016/J.Jnnfm.2009.10.001  0.488
2010 Renardy M. Stability of Creeping Flows of Maxwell Fluids Archive For Rational Mechanics and Analysis. 198: 723-733. DOI: 10.1007/S00205-010-0353-3  0.41
2010 Renardy M. Nonlinear stability for advective systems Journal of Evolution Equations. 10: 955-963. DOI: 10.1007/S00028-010-0078-7  0.313
2009 Renardy M. A note on a class of observability problems for PDEs Systems and Control Letters. 58: 183-187. DOI: 10.1016/J.Sysconle.2008.10.006  0.455
2009 Renardy M, Renardy Y. Linear stability of homogeneous elongational flow of the upper convected Maxwell fluid Journal of Non-Newtonian Fluid Mechanics. 160: 168-175. DOI: 10.1016/J.Jnnfm.2009.03.011  0.459
2009 Renardy M. Stress modes in linear stability of viscoelastic flows Journal of Non-Newtonian Fluid Mechanics. 159: 137-140. DOI: 10.1016/J.Jnnfm.2009.03.003  0.446
2009 Renardy M. Controllability of viscoelastic stresses for nonlinear Maxwell models Journal of Non-Newtonian Fluid Mechanics. 156: 70-74. DOI: 10.1016/J.Jnnfm.2008.06.010  0.426
2009 Renardy M. Ill-posedness of the hydrostatic Euler and Navier-Stokes equations Archive For Rational Mechanics and Analysis. 194: 877-886. DOI: 10.1007/S00205-008-0207-4  0.407
2009 Renardy M. Some global stability results for shear flows of viscoelastic fluids Journal of Mathematical Fluid Mechanics. 11: 100-109. DOI: 10.1007/S00021-007-0253-Y  0.449
2009 Renardy M. Global Existence of solutions for shear flow of certain viscoelastic fluids Journal of Mathematical Fluid Mechanics. 11: 91-99. DOI: 10.1007/S00021-007-0249-7  0.433
2008 Afkhami S, Renardy Y, Renardy M, Riffle JS, St Perre T. Field-induced motion of ferrofluid droplets through immiscible viscous media Journal of Fluid Mechanics. 610: 363-380. DOI: 10.1017/S0022112008002589  0.34
2008 Renardy M. Stability of viscoelastic shear flows in the limit of high Weissenberg and Reynolds numbers Journal of Non-Newtonian Fluid Mechanics. 155: 124-129. DOI: 10.1016/J.Jnnfm.2008.05.007  0.48
2007 Renardy M. Draw resonance revisited Journal of Physics: Conference Series. 64. DOI: 10.1137/050634268  0.42
2007 Renardy M. On control of shear flow of an upper convected Maxwell fluid Zamm Zeitschrift Fur Angewandte Mathematik Und Mechanik. 87: 213-218. DOI: 10.1002/Zamm.200610313  0.407
2006 Renardy M. Viscoelastic stagnation point flow in a wake Journal of Non-Newtonian Fluid Mechanics. 138: 206-208. DOI: 10.1016/J.Jnnfm.2006.06.004  0.434
2006 Renardy M. A comment on smoothness of viscoelastic stresses Journal of Non-Newtonian Fluid Mechanics. 138: 204-205. DOI: 10.1016/J.Jnnfm.2006.05.006  0.38
2006 Khismatullin D, Renardy Y, Renardy M. Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations Journal of Non-Newtonian Fluid Mechanics. 140: 120-131. DOI: 10.1016/J.Jnnfm.2006.02.013  0.338
2005 Renardy M. A comment on self-similar breakup for inertialess Newtonian liquid jets Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 70: 353-358. DOI: 10.1093/Imamat/Hxh040  0.317
2005 Renardy M. Shear flow of viscoelastic fluids as a control problem Journal of Non-Newtonian Fluid Mechanics. 131: 59-63. DOI: 10.1016/J.Jnnfm.2005.08.008  0.469
2005 Chinyoka T, Renardy YY, Renardy M, Khismatullin DB. Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids Journal of Non-Newtonian Fluid Mechanics. 130: 45-56. DOI: 10.1016/J.Jnnfm.2005.07.005  0.372
2005 Renardy M. Post-breakup asymptotics for a Giesekus jet Journal of Non-Newtonian Fluid Mechanics. 126: 1-5. DOI: 10.1016/J.Jnnfm.2004.12.004  0.351
2005 Wapperom P, Renardy M. Numerical prediction of the boundary layers in the flow around a cylinder using a fixed velocity field Journal of Non-Newtonian Fluid Mechanics. 125: 35-48. DOI: 10.1016/J.Jnnfm.2004.09.005  0.454
2005 Renardy M. Parallel shear flows of fluids with a temperature dependent viscosity Zeitschrift Fur Angewandte Mathematik Und Physik. 56: 681-693. DOI: 10.1007/S00033-005-3124-5  0.397
2005 Renardy M. Are viscoelastic flows under control or out of control? Systems and Control Letters. 54: 1183-1193. DOI: 10.1007/978-3-540-74339-2_13  0.368
2004 Renardy Y, Renardy M, Chinyoka T, Khismatullin DB, Li J. A Viscoelastic VOF-PROST Code for the Study of Drop Deformation Volume!. 403-408. DOI: 10.1115/Ht-Fed2004-56114  0.342
2004 Renardy M, Renardy Y. Similarity solutions for breakup of jets of power law fluids Journal of Non-Newtonian Fluid Mechanics. 122: 303-312. DOI: 10.1016/J.Jnnfm.2004.01.026  0.393
2003 Renardy Y, Popinet S, Duchemin L, Renardy M, Zaleski S, Josserand C, Drumright-Clarke MA, Richard D, Clanet C, Quéré D. Pyramidal and toroidal water drops after impact on a solid surface Journal of Fluid Mechanics. 69-83. DOI: 10.1017/S0022112003004142  0.361
2003 Renardy M. Parallel shear flows of fluids with a pressure-dependent viscosity Journal of Non-Newtonian Fluid Mechanics. 114: 229-236. DOI: 10.1016/S0377-0257(03)00154-X  0.408
2003 Renardy M. Stress integration for the constitutive law of the upper convected Maxwell fluid near the corners in a driven cavity Journal of Non-Newtonian Fluid Mechanics. 112: 77-84. DOI: 10.1016/S0377-0257(03)00061-2  0.388
2003 Renardy M. Spectrally determined growth for creeping flow of the upper convected maxwell fluid Semigroup Forum. 66: 171-178. DOI: 10.1007/S002330010152  0.453
2002 Renardy M. Effect of upstream boundary conditions on stability of fiber spinning in the highly elastic limit Journal of Rheology. 46: 1023-1028. DOI: 10.1122/1.1487369  0.327
2002 Renardy YY, Renardy M, Cristini V. A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio European Journal of Mechanics, B/Fluids. 21: 49-59. DOI: 10.1016/S0997-7546(01)01159-1  0.404
2002 Renardy M, Losh D. Similarity solutions for jet breakup in a Giesekus fluid with inertia Journal of Non-Newtonian Fluid Mechanics. 106: 17-27. DOI: 10.1016/S0377-0257(02)00083-6  0.369
2002 Renardy M. Similarity solutions for jet breakup for various models of viscoelastic fluids Journal of Non-Newtonian Fluid Mechanics. 104: 65-74. DOI: 10.1016/S0377-0257(02)00016-2  0.371
2002 Renardy M. Self-similar jet breakup for a generalized PTT model Journal of Non-Newtonian Fluid Mechanics. 103: 261-269. DOI: 10.1016/S0377-0257(02)00007-1  0.301
2002 Renardy Y, Renardy M. PROST: A parabolic reconstruction of surface tension for the volume-of-fluid method Journal of Computational Physics. 183: 400-421. DOI: 10.1006/Jcph.2002.7190  0.377
2001 Renardy M. Self-similar breakup of a Giesekus jet Journal of Non-Newtonian Fluid Mechanics. 97: 283-293. DOI: 10.1016/S0377-0257(00)00181-6  0.309
2001 Lasiecka I, Renardy M, Triggiani R. Backward uniqueness for thermoelastic plates with rotational forces Semigroup Forum. 62: 217-242. DOI: 10.1007/S002330010035  0.382
2001 Renardy M. Shape control by collinear actuators Archive For Rational Mechanics and Analysis. 156: 231-240. DOI: 10.1007/S002050000120  0.372
2001 Renardy M. Finite time breakup of viscous filaments Zeitschrift Fur Angewandte Mathematik Und Physik. 52: 881-887. DOI: 10.1007/Pl00001579  0.362
2001 Renardy M, Renardy Y, Li J. Numerical Simulation of Moving Contact Line Problems Using a Volume-of-Fluid Method Journal of Computational Physics. 171: 243-263. DOI: 10.1006/Jcph.2001.6785  0.396
2000 Renardy M. A Boundary value problem for laplace's equation Complex Variables, Theory and Application: An International Journal. 41: 145-150. DOI: 10.1080/17476930008815243  0.406
2000 Li J, Renardy YY, Renardy M. Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method Physics of Fluids. 12: 269-282. DOI: 10.1063/1.870305  0.405
2000 Renardy M. Current issues in non-Newtonian flows: A mathematical perspective Journal of Non-Newtonian Fluid Mechanics. 90: 243-259. DOI: 10.1016/S0377-0257(99)00081-6  0.36
2000 Renardy M. Asymptotic structure of the stress field in flow past a cylinder at high Weissenberg number Journal of Non-Newtonian Fluid Mechanics. 90: 13-23. DOI: 10.1016/S0377-0257(99)00050-6  0.416
2000 Renardy M. Location of the continuous spectrum in complex flows of the UCM fluid Journal of Non-Newtonian Fluid Mechanics. 94: 75-85. DOI: 10.1016/S0377-0257(00)00114-2  0.47
2000 Renardy M. Wall boundary layers for Maxwell liquids Archive For Rational Mechanics and Analysis. 152: 93-102. DOI: 10.1007/Pl00004232  0.408
2000 Hagen T, Renardy M. Non-adiabatic elongational flows of viscoelastic melts Zeitschrift FüR Angewandte Mathematik Und Physik. 51: 845-866. DOI: 10.1007/Pl00001526  0.48
2000 Hagen T, Renardy M. Eigenvalue Asymptotics in Non-isothermal Elongational Flow Journal of Mathematical Analysis and Applications. 252: 431-443. DOI: 10.1006/Jmaa.2000.7089  0.349
2000 Hagen T, Renardy M. Non-adiabatic elongational flows of viscoelastic melts Zeitschrift Fur Angewandte Mathematik Und Physik. 51: 845-866.  0.38
1999 Renardy M. Bifurcation of traveling waves resulting from resonant mode crossings in oceanic currents European Journal of Mechanics, B/Fluids. 18: 35-46. DOI: 10.1016/S0997-7546(99)80004-1  0.313
1999 Wilson HJ, Renardy M, Renardy Y. Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd-B liquids Journal of Non-Newtonian Fluid Mechanics. 80: 251-268. DOI: 10.1016/S0377-0257(98)00087-1  0.465
1999 Renardy M. A note on bifurcation problems in large containers Fluid Dynamics Research. 24: 189-199. DOI: 10.1016/S0169-5983(98)00026-4  0.402
1999 Renardy YY, Renardy M, Fujimura K. Takens-Bogdanov bifurcation on the hexagonal lattice for double-layer convection Physica D: Nonlinear Phenomena. 129: 171-202. DOI: 10.1016/S0167-2789(99)00007-X  0.399
1998 Li J, Renardy YY, Renardy M. A numerical study of periodic disturbances on two-layer Couette flow Physics of Fluids. 10: 3056-3071. DOI: 10.1063/1.869834  0.448
1998 Renardy YY, Renardy M. Instability due to second normal stress jump in two-layer shear flow of the Giesekus fluid Journal of Non-Newtonian Fluid Mechanics. 81: 215-234. DOI: 10.1016/S0377-0257(98)00125-6  0.449
1998 Hassager O, Kolte MI, Renardy M. Failure and nonfailure of fluid filaments in extension Journal of Non-Newtonian Fluid Mechanics. 76: 137-151. DOI: 10.1016/S0377-0257(97)00115-8  0.372
1998 Renardy Y, Renardy M. A model equation for axisymmetric stability of small-gap parallel-plate flows Journal of Non-Newtonian Fluid Mechanics. 77: 103-114. DOI: 10.1016/S0377-0257(97)00100-6  0.426
1998 Renardy YY, Renardy M. Influence of non-Boussinesq effects on patterns in salt-finger convection Zeitschrift Fur Angewandte Mathematik Und Physik. 49: 224-250. DOI: 10.1007/S000330050217  0.332
1998 Renardy Y, Renardy M. A model equation for axisymmetric stability of small-gap parallel-plate flows Journal of Non-Newtonian Fluid Mechanics. 77: 103-114.  0.323
1997 Renardy M. A degenerate parabolic-hyperbolic system modeling the spreading of surfactants Siam Journal On Mathematical Analysis. 28: 1048-1063. DOI: 10.1137/S0036141096299120  0.324
1997 Renardy M, Perkins J. Stability of equatorial currents with nonzero potential vorticity Geophysical and Astrophysical Fluid Dynamics. 85: 31-64. DOI: 10.1080/03091929708208984  0.37
1997 Hagen T, Renardy M. Boundary layer analysis of the Phan-Thien-Tanner and Giesekus model in high Weissenberg number flow Journal of Non-Newtonian Fluid Mechanics. 73: 181-189. DOI: 10.1016/S0377-0257(97)00035-9  0.393
1997 Renardy M. The high Weissenberg number limit of the UCM model and the Euler equations Journal of Non-Newtonian Fluid Mechanics. 69: 293-301. DOI: 10.1016/S0377-0257(96)01544-3  0.395
1997 Renardy M. Re-entrant corner behavior of the PTT fluid Journal of Non-Newtonian Fluid Mechanics. 69: 99-104. DOI: 10.1016/S0377-0257(96)01506-6  0.414
1997 Renardy M. High Weissenberg number boundary layers for the upper converted Maxwell fluid Journal of Non-Newtonian Fluid Mechanics. 68: 125-132. DOI: 10.1016/S0377-0257(96)01491-7  0.429
1997 Renardy M. Qualitative correlation between viscometric and linear viscoelastic functions Journal of Non-Newtonian Fluid Mechanics. 68: 133-135. DOI: 10.1016/S0377-0257(96)01466-8  0.307
1997 Coward AV, Renardy YY, Renardy M, Richards JR. Temporal evolution of periodic disturbances in two-layer Couette flow Journal of Computational Physics. 132: 346-361. DOI: 10.1006/Jcph.1996.5640  0.408
1997 Renardy M. Imposing 'no' boundary condition at outflow: Why does it work? International Journal For Numerical Methods in Fluids. 24: 413-417. DOI: 10.1002/(Sici)1097-0363(19970228)24:4<413::Aid-Fld507>3.0.Co;2-N  0.378
1996 Renardy M. Initial-value problems with inflow boundaries for Maxwell fluids Siam Journal On Mathematical Analysis. 27: 914-931. DOI: 10.1137/S0036141094265912  0.465
1996 Renardy M, Renardy Y, Sureshkumar R, Beris AN. Hopf-Hopf and steady-Hopf mode interactions in Taylor-Couette flow of an upper convected Maxwell liquid Journal of Non-Newtonian Fluid Mechanics. 63: 1-31. DOI: 10.1016/0377-0257(95)01415-2  0.344
1996 Renardy M. Corner singularities and high weissenberg number asymptotics for viscoelastic fluids American Society of Mechanical Engineers, Applied Mechanics Division, Amd. 217: 71-73.  0.335
1995 Renardy M. Nonlinear Problems of Elasticity (Stuart S. Antman) Siam Review. 37: 637-637. DOI: 10.1137/1037152  0.323
1995 Liu ZY, Renardy M. A note on the equations of a thermoelastic plate Applied Mathematics Letters. 8: 1-6. DOI: 10.1016/0893-9659(95)00020-Q  0.344
1995 Renardy M. A numerical study of the asymptotic evolution and breakup of Newtonian and viscoelastic jets Journal of Non-Newtonian Fluid Mechanics. 59: 267-282. DOI: 10.1016/0377-0257(95)01375-6  0.428
1995 Renardy M. On the mechanism of drag reduction Journal of Non-Newtonian Fluid Mechanics. 59: 93-101. DOI: 10.1016/0377-0257(95)01357-2  0.4
1995 Renardy M. A matched solution for corner flow of the upper convected Maxwell fluid Journal of Non-Newtonian Fluid Mechanics. 58: 83-89. DOI: 10.1016/0377-0257(94)01339-J  0.414
1995 Renardy M. Instability proof for some transonic problems with resonant mode crossings Theoretical and Computational Fluid Dynamics. 7: 457-461. DOI: 10.1007/Bf00418143  0.458
1995 Renardy M. Nonlinear stability of flows of Jeffreys fluids at low Weissenberg numbers Archive For Rational Mechanics and Analysis. 132: 37-48. DOI: 10.1007/Bf00390348  0.439
1995 Renardy M. Existence of Steady Flows for Maxwell Fluids with Traction Boundary Conditions on Open Boundaries Zamm ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift FüR Angewandte Mathematik Und Mechanik. 75: 153-155. DOI: 10.1002/Zamm.19950750214  0.422
1994 Renardy M, Renardy Y. Erratum: ‘‘Derivation of amplitude equations and analysis of sideband instabilities in two‐layer flows’’ [Phys. Fluids A 5, 2738 (1993)] Physics of Fluids. 6: 3502-3502. DOI: 10.1063/1.868407  0.373
1994 Renardy M. Some comments on the surface-tension driven break-up (or the lack of it) of viscoelastic jets Journal of Non-Newtonian Fluid Mechanics. 51: 97-107. DOI: 10.1016/0377-0257(94)85005-4  0.311
1994 Renardy M. On the linear stability of hyperbolic PDEs and viscoelastic flows Zamp Zeitschrift FüR Angewandte Mathematik Und Physik. 45: 854-865. DOI: 10.1007/Bf00952081  0.438
1994 Renardy M. On an eigenvalue problem arising in the study of the stability of ocean currents Zamp Zeitschrift FüR Angewandte Mathematik Und Physik. 45: 497-501. DOI: 10.1007/Bf00945934  0.42
1994 Renardy M. Instability of uniform flow International Journal For Numerical Methods in Fluids. 19: 687-692. DOI: 10.1002/Fld.1650190804  0.439
1993 Renardy M. Asymptotic Solution of the Telegraph Equation (Mark A. Pinsky) Siam Review. 35: 306-307. DOI: 10.1137/1035056  0.352
1993 Renardy M. On the type of certain C0-semigroups Communications in Partial Differential Equations. 18: 1299-1307. DOI: 10.1080/03605309308820975  0.308
1993 Renardy M, Renardy Y. Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows Physics of Fluids. 5: 2738-2762. DOI: 10.1063/1.858737  0.382
1993 Renardy M. The stresses of an upper convected Maxwell fluid in a Newtonian velocity field near a re-entrant corner Journal of Non-Newtonian Fluid Mechanics. 50: 127-134. DOI: 10.1016/0377-0257(93)80027-9  0.415
1993 Renardy M, Rogers RC. Shock conditions for hypoelastic materials Theoretical and Computational Fluid Dynamics. 5: 49-55. DOI: 10.1007/Bf00418042  0.35
1993 Renardy M. On the stability of parallel shear flow of an oldroyd B fluid Differential and Integral Equations. 6: 481-489.  0.315
1992 Renardy M. An existence theorem for a free surface flow problem with open boundaries Communications in Partial Differential Equations. 17: 340-423. DOI: 10.1080/03605309208820890  0.445
1992 Renardy M. A centre manifold theorem for hyperbolic PDEs Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 122: 363-377. DOI: 10.1017/S0308210500021168  0.418
1992 Baird D, Renardy M. Report on the VIIth international workshop on numerical methods in non-Newtonian flow Journal of Non-Newtonian Fluid Mechanics. 43: 386. DOI: 10.1016/0377-0257(92)80036-W  0.366
1992 Renardy M, Renardy Y. Pattern selection in the Bénard problem for a viscoelastic fluid Zamp Zeitschrift FüR Angewandte Mathematik Und Physik. 43: 154-180. DOI: 10.1007/Bf00944744  0.411
1992 Renardy M. A possible explanation of "bamboo waves" in core-annular flow of two liquids Theoretical and Computational Fluid Dynamics. 4: 95-99. DOI: 10.1007/Bf00418238  0.404
1992 Renardy M. Ill-posedness at the boundary for elastic solids sliding under Coulomb friction Journal of Elasticity. 27: 281-287. DOI: 10.1007/Bf00041691  0.353
1992 Renardy M. Rigorous stability proof for plane Couette flow of an upper convected Maxwell fluid at zero Reynolds number European Journal of Mechanics, B/Fluids. 11: 511-516.  0.344
1991 Grosjean CC, de Meyer H, Gibbs A, Renardy M. A Two-Point Boundary Problem for Airy Functions (Richard B. Evans) Siam Review. 33: 477-479. DOI: 10.1137/1033109  0.34
1991 Renardy M. An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions Siam Journal On Mathematical Analysis. 22: 313-327. DOI: 10.1137/0522020  0.387
1991 Joseph DD, Nelson J, Renardy M, Renardy Y. Two-dimensional cusped interfaces Journal of Fluid Mechanics. 223: 383-409. DOI: 10.1017/S0022112091001477  0.347
1991 Renardy M, Renardy Y. On the nature of boundary conditions for flows with moving free surfaces Journal of Computational Physics. 93: 325-335. DOI: 10.1016/0021-9991(91)90186-O  0.433
1991 Renardy M. Compatibility Conditions at Corners between Walls and Inflow Boundaries for Fluids of Maxwell Type Zamm ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift FüR Angewandte Mathematik Und Mechanik. 71: 37-45. DOI: 10.1002/Zamm.19910710109  0.484
1990 Cohoon DK, Purcell RM, Renardy M, Grosjean CC. On the Number of Roots of a Transcendental Equation Siam Review. 32: 682-683. DOI: 10.1137/1032136  0.308
1990 Renardy M, Jagers AA. Problem of the Nile (Leopold Flatto and Larry Shepp) Siam Review. 32: 302-304. DOI: 10.1137/1032054  0.323
1990 Renardy M. Local Existence of Solutions of the Dirichlet Initial-Boundary Value Problem for Incompressible Hypoelastic Materials Siam Journal On Mathematical Analysis. 21: 1369-1385. DOI: 10.1137/0521076  0.414
1990 Renardy M. Short wave instabilities resulting from memory slip Journal of Non-Newtonian Fluid Mechanics. 35: 73-76. DOI: 10.1016/0377-0257(90)85073-8  0.435
1990 Renardy M. An alternative approach to inflow boundary conditions for Maxwell fluids in three space dimensions Journal of Non-Newtonian Fluid Mechanics. 36: 419-425. DOI: 10.1016/0377-0257(90)85022-Q  0.411
1990 Renardy M. Corner singularities between free surfaces and open boundaries Zamp Zeitschrift FüR Angewandte Mathematik Und Physik. 41: 419-425. DOI: 10.1007/Bf00959988  0.408
1990 Hrusa WJ, Renardy M. Corrections "An existence theorem for the dirichlet problem in the elastodynamics of incompressible materials" Archive For Rational Mechanics and Analysis. 110: 373-375. DOI: 10.1007/Bf00393273  0.343
1989 Renardy M. Correction to "Inflow boundary conditions for steady flows of viscoelastic constitutive laws", Volume 18, 445 453 Rocky Mountain Journal of Mathematics. 19: 561-562. DOI: 10.1216/Rmj-1989-19-2-561  0.404
1989 Renardy M. On Rankine-Hugoniot conditions for Maxwell liquids Journal of Non-Newtonian Fluid Mechanics. 32: 69-77. DOI: 10.1016/0377-0257(89)85041-4  0.374
1989 Renardy M, Renardy Y. Stability of shear flows of viscoelastic fluids under perturbations perpendicular to the plane of flow Journal of Non-Newtonian Fluid Mechanics. 32: 145-155. DOI: 10.1016/0377-0257(89)85033-5  0.445
1989 Joseph DD, Renardy M. Stokes' first problem for linear viscoelastic fluids with finite memory Rheologica Acta. 28: 453-456. DOI: 10.1007/Bf01332915  0.362
1989 Renardy M. Existence of steady flows of viscoelastic fluids of Jeffreys type with traction boundary conditions Differential and Integral Equations. 2: 431-437.  0.376
1988 Renardy M. Inflow boundary conditions for steady flows of viscoelastic fluids with differential constitutive laws Rocky Mountain Journal of Mathematics. 18: 445-453. DOI: 10.1216/Rmj-1988-18-2-445  0.466
1988 Renardy M. Coercive estimates and existence of solutions for a model of one-dimensional viscoelasticity with a non-integrable memory function Journal of Integral Equations and Applications. 1: 7-16. DOI: 10.1216/Jie-1988-1-1-7  0.355
1988 Hrusa WJ, Renardy M. A Model Equation for Viscoelasticity with a Strongly Singular Kernel Siam Journal On Mathematical Analysis. 19: 257-269. DOI: 10.1137/0519019  0.366
1988 Hrusa WJ, Nohel JA, Renardy M. Initial Value Problems in Viscoelasticity Applied Mechanics Reviews. 41: 371-378. DOI: 10.1115/1.3151871  0.405
1988 Renardy M. Recent advances in the mathematical theory of steady flow of viscoelastic fluids Journal of Non-Newtonian Fluid Mechanics. 29: 11-24. DOI: 10.1016/0377-0257(88)85047-X  0.488
1988 Renardy M, Renardy Y. Bifurcating solutions at the onset of convection in the Bénard problem for two fluids Physica D: Nonlinear Phenomena. 32: 227-252. DOI: 10.1016/0167-2789(88)90053-X  0.458
1988 Al-Droubi A, Renardy M. Energy methods for a parabolic-hyperbolic interface problem arising in electromagnetism Zamp Zeitschrift FüR Angewandte Mathematik Und Physik. 39: 931-936. DOI: 10.1007/Bf00945129  0.404
1988 Hrusa WJ, Renardy M. An existence theorem for the Dirichlet problem in the elastodynamics of incompressible materials Archive For Rational Mechanics and Analysis. 102: 95-117. DOI: 10.1007/Bf00251494  0.343
1987 Renardy M. A model equation in combustion theory exhibiting an infinite number of secondary bifurcations Physica D: Nonlinear Phenomena. 28: 155-167. DOI: 10.1016/0167-2789(87)90126-6  0.361
1986 Renardy M, Joseph DD. Hopf bifurcation in two component flow Siam Journal On Mathematical Analysis. 17: 894-910. DOI: 10.1137/0517064  0.406
1986 Renardy M. Dense imbedding of test functions in certain function spaces Transactions of the American Mathematical Society. 298: 241-243. DOI: 10.1090/S0002-9947-1986-0857442-7  0.304
1986 Renardy M. Some remarks on the Navier-Stokes equations with a pressure-dependent viscosity Communications in Partial Differential Equations. 11: 779-793. DOI: 10.1080/03605308608820445  0.378
1986 Renardy M, Renardy Y. Linear stability of plane couette flow of an upper convected maxwell fluid Journal of Non-Newtonian Fluid Mechanics. 22: 23-33. DOI: 10.1016/0377-0257(86)80002-7  0.437
1986 Hrusa WJ, Renardy M. On a class of quasilinear partial integrodifferential equations with singular kernels Journal of Differential Equations. 64: 195-220. DOI: 10.1016/0022-0396(86)90087-2  0.365
1986 Rajagopal KR, Renardy M, Renardy Y, Wineman AS. Flow of viscoelastic fluids between plates rotating about distinct axes Rheologica Acta. 25: 459-467. DOI: 10.1007/Bf01774396  0.461
1985 Markowich P, Renardy M. Corrigenda: Lax–Wendroff Methods for Hyperbolic History Value Problems Siam Journal On Numerical Analysis. 22: 204-204. DOI: 10.1137/0722013  0.322
1985 Hrusa WJ, Renardy M. ON WAVE PROPAGATION IN LINEAR VISCOELASTICITY Quarterly of Applied Mathematics. 43: 237-254. DOI: 10.1090/Qam/793532  0.352
1985 Renardy Y, Renardy M. Perturbation analysis of steady and oscillatory onset in a Bénard problem with two similar liquids Physics of Fluids. 28: 2699-2708. DOI: 10.1063/1.865227  0.449
1985 Joseph DD, Renardy Y, Nguyen K, Renardy M. Stability of rigid motions and rollers in bicomponent flows of immiscible liquids Journal of Fluid Mechanics. 153: 151-165. DOI: 10.1017/S0022112085001185  0.377
1985 Hrusa WJ, Renardy M. On a Nonlinear Hyperbolic Integrodifferential Equation with a Singular Kernel North-Holland Mathematics Studies. 110: 193-200. DOI: 10.1016/S0304-0208(08)72710-5  0.355
1985 Fan XJ, Byron Bird R, Renardy M. Configuration-dependent friction coefficients and elastic dumbbell rheology Journal of Non-Newtonian Fluid Mechanics. 18: 255-272. DOI: 10.1016/0377-0257(85)87002-6  0.332
1985 Markovich P, Renardy M. A finite difference study of the stretching and break-up of filaments of polymer solutions Journal of Non-Newtonian Fluid Mechanics. 17: 13-22. DOI: 10.1016/0377-0257(85)80002-1  0.308
1985 Joseph DD, Renardy M, Saut JC. Hyperbolicity and change of type in the flow of viscoelastic fluids Archive For Rational Mechanics and Analysis. 87: 213-251. DOI: 10.1007/BF00250725  0.349
1985 Renardy M. A local existence and uniqueness theorem for a K-BKZ-fluid Archive For Rational Mechanics and Analysis. 88: 83-94. DOI: 10.1007/Bf00250683  0.419
1985 Joseph DD, Renardy M, Saut J. Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids Archive For Rational Mechanics and Analysis. 87: 25-63. DOI: 10.1007/978-3-642-61598-6_3  0.452
1985 Renardy M. Existence of Slow Steady Flows of Viscoelastic Fluids with Differential Constitutive Equations Zamm ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift FüR Angewandte Mathematik Und Mechanik. 65: 449-451. DOI: 10.1002/Zamm.19850650919  0.485
1985 Renardy Y, Renardy M. Perturbation analysis of steady and oscillatory onset in a Bénard problem with two similar liquids Physics of Fluids. 28: 2699-2708.  0.338
1984 Markowich P, Renardy M. Lax–Wendroff Methods for Hyperbolic History Value Problems Siam Journal On Numerical Analysis. 21: 24-51. DOI: 10.1137/0721002  0.414
1984 Renardy M. Singularly Perturbed Hyperbolic Evolution Problems with Infinite Delay and an Application to Polymer Rheology Siam Journal On Mathematical Analysis. 15: 333-349. DOI: 10.1137/0515026  0.403
1984 Joseph DD, Renardy M, Renardy Y. Instability of the flow of two immiscible liquids with different viscosities in a pipe Journal of Fluid Mechanics. 141: 309-317. DOI: 10.1017/S0022112084000860  0.459
1984 Ahrens M, Joseph DD, Renardy M, Renardy Y. Remarks on the stability of viscometric flow Rheologica Acta. 23: 345-354. DOI: 10.1007/Bf01329187  0.355
1984 Renardy M. On the domain space for constitutive laws in linear viscoelasticity Archive For Rational Mechanics and Analysis. 85: 21-26. DOI: 10.1007/Bf00250864  0.333
1984 Renardy M. INITIAL VALUE PROBLEMS FOR VISCOELASTIC LIQUIDS Lecture Notes in Physics. 333-345.  0.319
1983 Markowich P, Renardy M. The Numerical Solution of a Class of Quasilinear Parabolic Volterra Equations Arising in Polymer Rheology Siam Journal On Numerical Analysis. 20: 890-908. DOI: 10.1137/0720062  0.392
1983 Markowich P, Renardy M. A Nonlinear Volterra Integrodifferential Equation Describing the Stretching of Polymeric Liquids Siam Journal On Mathematical Analysis. 14: 66-97. DOI: 10.1137/0514006  0.379
1983 Renardy M, Haken H. Bifurcation of solutions of the laser equations Physica D: Nonlinear Phenomena. 8: 57-89. DOI: 10.1016/0167-2789(83)90311-1  0.323
1983 Renardy M. A class of quasilinear parabolic equations with infinite delay and application to a problem of viscoelasticity Journal of Differential Equations. 48: 280-292. DOI: 10.1016/0022-0396(83)90053-0  0.348
1983 Renardy M. Local existence theorems for the first and second initial-boundary value problems for a weakly non-newtonian fluid Archive For Rational Mechanics and Analysis. 83: 229-244. DOI: 10.1007/Bf00251510  0.443
1982 Renardy M. Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids Rheologica Acta. 21: 251-254. DOI: 10.1007/Bf01515713  0.4
1980 Renardy M. On bounded solutions of a classical yang-mills equation Communications in Mathematical Physics. 76: 277-287. DOI: 10.1007/Bf02193558  0.35
1979 Renardy M, Kirchgässner K. Hopf‐Bifurkation bei Lasern Mathematical Methods in the Applied Sciences. 1: 194-213. DOI: 10.1002/Mma.1670010206  0.331
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