# Ronald B. Guenther - Publications

## Affiliations: | Oregon State University, Corvallis, OR |

##### Area:

MathematicsYear | Citation | Score | |||
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2014 | Farwig R, Guenther RB, Thomann EA, Nečasová S. The fundamental solution of linearized nonstationary navier-stokes equations of motion around a rotating and translating body Discrete and Continuous Dynamical Systems- Series A. 34: 511-529. DOI: 10.3934/dcds.2014.34.511 |
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2013 | Guenther RB, Roetman EL. Uniqueness and nonuniqueness of the Stokes and Oseen flows Journal of Fixed Point Theory and Applications. 13: 519-527. DOI: 10.1007/s11784-013-0133-4 |
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2010 | Bikri I, Guenther RB, Thomann EA. The dirichlet to neumann map-an application to the stokes problem in half space Discrete and Continuous Dynamical Systems - Series S. 3: 221-230. DOI: 10.3934/dcdss.2010.3.221 |
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2009 | Guenther RB, Hudspeth RT. Analyses by the Melnikov method of damped parametrically excited cross waves Handbook of Coastal and Ocean Engineering. 57-86. DOI: 10.1142/9789812819307_0003 |
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2009 | Hudspeth RT, Guenther RB. Wavemaker theories Handbook of Coastal and Ocean Engineering. 25-56. DOI: 10.1142/9789812819307_0002 |
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2009 | Granas A, Guenther RB, Lee JW. Continuation and shooting methods for boundary value problems of Bernstein type Journal of Fixed Point Theory and Applications. 6: 27-61. DOI: 10.1007/s11784-009-0111-z |
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2009 | Kharab A, Hudspeth RT, Guenther RB. Penetration of cylindrical projectiles into saturated sandy media Experimental Mechanics. 49: 605-612. DOI: 10.1007/s11340-008-9190-9 |
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2008 | Chen L, Guenther RB, Kim SC, Thomann EA, Waymire EC. A rate of convergence for the LANS α regularization of Navier-Stokes equations Journal of Mathematical Analysis and Applications. 348: 637-649. DOI: 10.1016/j.jmaa.2008.07.051 |
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2008 | Guenther RB, Krejčí P, Sprekels J. Small strain oscillations of an elastoplastic Kirchhoff plate Zamm Zeitschrift Fur Angewandte Mathematik Und Mechanik. 88: 199-217. DOI: 10.1002/zamm.200700111 |
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2007 | Burns ER, Dragila MI, Selker JS, Guenther RB, Parlange JY, Weisbrod N. Correction of the Buckingham-Darcy Law for flow of high strength salts in variably saturated porous media Advances in Water Resources. 30: 469-482. DOI: 10.1016/j.advwatres.2006.04.010 |
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2007 | Guenther RB, Thomann EA. Fundamental solutions of Stokes and Oseen problem in two spatial dimensions Journal of Mathematical Fluid Mechanics. 9: 489-505. DOI: 10.1007/s00021-005-0209-z |
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2006 | Burns ER, Selker JS, Parlange JY, Guenther RB. Effects of sodium chloride on constitutive relations in variably, saturated porous media Water Resources Research. 42. DOI: 10.1029/2005WR004060 |
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2006 | Burns ER, Parlange JY, Selker JS, Guenther RB. Thermodynamic correction for salts in variably saturated porous media Transport in Porous Media. 63: 381-398. DOI: 10.1007/s11242-005-8431-y |
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2006 | Thomann EA, Guenther RB. The fundamental solution of the linearized Navier-Stokes equations for spinning bodies in three spatial dimensions - Time dependent case Journal of Mathematical Fluid Mechanics. 8: 77-98. DOI: 10.1007/s00021-004-0139-1 |
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2005 | Hudspeth RT, Guenther RB, Fadel S. Chaotic analyses of weakly damped parametrically excited cross waves with surface tension Acta Mechanica. 175: 139-179. DOI: 10.1007/s00707-004-0176-0 |
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2003 | Bhattacharya RN, Chen L, Dobson S, Guenther RB, Orum C, Ossiander M, Thomann E, Waymire EC. Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations Transactions of the American Mathematical Society. 355: 5003-5040. DOI: 10.1090/S0002-9947-03-03246-X |
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2002 | Lyons CK, Guenther RB, Pyles MR. Considering heterogeneity in a cylindrical section of a tree International Journal of Solids and Structures. 39: 4665-4675. DOI: 10.1016/S0020-7683(02)00380-3 |
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2002 | Lyons CK, Guenther RB, Pyles MR. Elastic equations for a cylindrical section of a tree International Journal of Solids and Structures. 39: 4773-4786. DOI: 10.1016/S0020-7683(02)00373-6 |
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2000 | Orum JC, Hudspeth RT, Black W, Guenther RB. Extension of the Herglotz algorithm to nonautonomous canonical transformations Siam Review. 42: 83-90. |
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1998 | Guenther RB, Lee JW. Heat conduction with radiating boundary conditions Journal of Computational and Applied Mathematics. 88: 119-124. |
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1997 | Wang HT, Guenther RB. Calculation of the far field finite depth Green's function Ocean Engineering. 24: 83-94. |
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1996 | DeSilva SJ, Guenther RB, Hudspeth RT. Irregular points in 2-D free surface flows with surface tension for the wavemaker boundary value problem Applied Ocean Research. 18: 293-302. DOI: 10.1016/S0141-1187(97)00004-7 |
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1996 | Guenther RB, Gottsch JA, Kramer DB. The Herglotz algorithm for constructing canonical transformations Siam Review. 38: 287-293. |
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1995 | Senkyrik M, Guenther RB. Boundary Value Problems with Discontinuities in the Spatial Variable Journal of Mathematical Analysis and Applications. 193: 296-305. DOI: 10.1006/jmaa.1995.1236 |
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1995 | Ely RL, Williamson KJ, Guenther RB, Hyman MR, Arp DJ. A cometabolic kinetics model incorporating enzyme inhibition, inactivation, and recovery: I. Model development, analysis, and testing Biotechnology and Bioengineering. 46: 218-231. |
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1995 | Ely RL, Hyman MR, Arp DJ, Guenther RB, Williamson KJ. A cometabolic kinetics model incorporating enzyme inhibition, inactivation, and recovery: II. Trichloroethylene degradation experiments Biotechnology and Bioengineering. 46: 232-245. |
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1994 | Kharab A, Guenther RB. A numerical model of water, heat and chemical transport in porous media Computers and Mathematics With Applications. 27: 55-64. DOI: 10.1016/0898-1221(94)90036-1 |
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1993 | Guenther RB, Lee JW. Some existence results for nonlinear integral equations via topological transversality Journal of Integral Equations and Applications. 5: 195-209. DOI: 10.1216/jiea/1181075743 |
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1993 | Fry VA, Istok JD, Guenther RB. An analytical solution to the solute transport equation with rate‐limited desorption and decay Water Resources Research. 29: 3201-3208. DOI: 10.1029/93WR01394 |
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1992 | Mohamed FA, Guenther RB, Hudspeth RT, McDougal WG. A damped wave equation for groundwater flow Advances in Water Resources. 15: 117-123. DOI: 10.1016/0309-1708(92)90038-4 |
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1992 | Hudspeth RT, Guenther RB, Roley KL, McDougal WG. Scaling thermal effects in radial flow Advances in Water Resources. 15: 107-116. DOI: 10.1016/0309-1708(92)90037-3 |
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1991 | Hudspeth RT, Guenther RB, Roley KL, McDougal WG. Parameter identification in radial flow Advances in Water Resources. 14: 240-251. DOI: 10.1016/0309-1708(91)90037-O |
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1991 | Guenther RB, Crow JA, Helfenstein FH. Shallow water waves Computational Modelling of Free and Moving Boundary Problems. 121-126. |
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1987 | Guenther RB, Lundy EL, Mohamed FA. Well response tests: II. The numerical solution Inverse Problems. 3: 407-419. DOI: 10.1088/0266-5611/3/3/010 |
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1987 | Lu AH, Sagar B, Guenther RB, Hudspeth RT. Flow equations in terms of piezometer levels for nonisothermal fluid in low‐permeability porous medium Water Resources Research. 23: 1097-1102. DOI: 10.1029/WR023i006p01097 |
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1987 | Kharab A, Guenther RB. A free boundary value problem for water invading an unsaturated medium Computing. 38: 185-207. DOI: 10.1007/BF02240095 |
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1986 | Guenther RB, Mohamed FA. Well response tests: I. The direct problem Inverse Problems. 2: 83-94. DOI: 10.1088/0266-5611/2/1/007 |
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1986 | Granas A, Guenther RB, Lee JW, O'Regan D. Boundary value problems on infinite intervals and semiconductor devices Journal of Mathematical Analysis and Applications. 116: 335-348. DOI: 10.1016/S0022-247X(86)80002-6 |
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1985 | Mohamed FA, Guenther RB. Free boundary problems arising in the freezing of soils in a bounded region. II. Analytical treatment of the nonlinear parabolic free boundary problem Journal of Mathematical Analysis and Applications. 111: 475-512. DOI: 10.1016/0022-247X(85)90231-8 |
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1985 | Mohamed FA, Guenther RB. Free boundary problems arising in the freezing of soils in a bounded region. I. The mathematical formulation of the physical problem Journal of Mathematical Analysis and Applications. 111: 1-13. DOI: 10.1016/0022-247X(85)90196-9 |
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1983 | Granas A, Guenther RB, Lee JW. Topological transversality II. Applications to the Neumann problem for y″ = f(t, y, y′) Pacific Journal of Mathematics. 104: 95-109. |
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1980 | Granas A, Guenther RB, Lee JW. Nonlinear boundary value problems for some classes of ordinary differential equations Rocky Mountain Journal of Mathematics. 10: 35-58. DOI: 10.1216/RMJ-1980-10-1-35 |
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1980 | Granas A, Guenther RB, Lee JW. Applications of topological transversality to differential equations I.(Some nonlinear diffusion problems.) Pacific Journal of Mathematics. 89: 53-67. |
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1979 | Guenther RB, Schmidt R. REMARKS ON PARAMETER IDENTIFICATION Siam Journal On Applied Mathematics. 37: 619-623. |
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1974 | Ciment M, Guenther RB. Numerical Solution of a Free Boundary Value Problem for Parabolic Equations Applicable Analysis. 4: 39-62. DOI: 10.1080/00036817408839082 |
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1972 | Fulks W, Guenther RB. Hyperbolic potential theory in two dimensions Rendiconti Del Circolo Matematico Di Palermo. 21: 305-317. DOI: 10.1007/BF02843794 |
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1972 | Fulks W, Guenther RB. Hyperbolic potential theory Archive For Rational Mechanics and Analysis. 49: 79-88. DOI: 10.1007/BF00281411 |
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1971 | Fulks WB, Guenther RB, Roetman EL. Equations of motion and continuity for fluid flow in a porous medium Acta Mechanica. 12: 121-129. DOI: 10.1007/BF01178393 |
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1970 | Guenther RB, Roetman EL. Some observations on interpolation in higher dimensions Mathematics of Computation. 24: 517-522. DOI: 10.1090/S0025-5718-1970-0275631-1 |
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1970 | Guenther RB, Roetman EL. Newton-Cotes formulae in n-dimensions Numerische Mathematik. 14: 330-345. DOI: 10.1007/BF02165589 |
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1969 | Fulks W, Guenther RB. A free boundary problem and an extension of Muskat's model Acta Mathematica. 122: 273-300. DOI: 10.1007/BF02392014 |
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