| Year |
Citation |
Score |
| 2020 |
Sukhtayev A, Yang Z, Zumbrun K. Spectral stability of hydraulic shock profiles Physica D: Nonlinear Phenomena. 405: 132360. DOI: 10.1016/J.Physd.2020.132360 |
0.495 |
|
| 2020 |
Sukhtayev A, Zumbrun K. A Sturm–Liouville theorem for quadratic operator pencils Journal of Differential Equations. 268: 3848-3879. DOI: 10.1016/J.Jde.2019.10.010 |
0.434 |
|
| 2019 |
Pogan A, Zumbrun K. Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks Kinetic and Related Models. 12: 1-36. DOI: 10.3934/Krm.2019001 |
0.448 |
|
| 2019 |
Melinand B, Zumbrun K. Existence and stability of steady compressible Navier–Stokes solutions on a finite interval with noncharacteristic boundary conditions Physica D: Nonlinear Phenomena. 394: 16-25. DOI: 10.1016/J.Physd.2019.01.006 |
0.494 |
|
| 2019 |
Yang Z, Zumbrun K. Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit Journal De MathéMatiques Pures Et AppliquéEs. 132: 27-40. DOI: 10.1016/J.Matpur.2019.09.013 |
0.487 |
|
| 2019 |
Pogan A, Zumbrun K. Reverse norms and L∞ exponential decay for a class of degenerate evolution systems arising in kinetic theory Journal of Mathematical Analysis and Applications. 475: 190-202. DOI: 10.1016/J.Jmaa.2019.02.030 |
0.417 |
|
| 2019 |
Yang Z, Zumbrun K. Stability of Hydraulic Shock Profiles Archive For Rational Mechanics and Analysis. 235: 195-285. DOI: 10.1007/S00205-019-01422-4 |
0.489 |
|
| 2018 |
Barker B, Humpherys J, Lyng G, Zumbrun K. Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations Siam Journal On Applied Dynamical Systems. 17: 1766-1785. DOI: 10.1137/17M113770X |
0.813 |
|
| 2018 |
Barker B, Jung S, Zumbrun K. Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves Physica D: Nonlinear Phenomena. 367: 11-18. DOI: 10.1016/J.Physd.2017.12.003 |
0.726 |
|
| 2018 |
Pogan A, Zumbrun K. Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks Journal of Differential Equations. 264: 6752-6808. DOI: 10.1016/J.Jde.2018.01.049 |
0.439 |
|
| 2018 |
Johnson MA, Noble P, Rodrigues LM, Yang Z, Zumbrun K. Spectral Stability of Inviscid Roll Waves Communications in Mathematical Physics. 367: 265-316. DOI: 10.1007/S00220-018-3277-7 |
0.595 |
|
| 2017 |
Zumbrun K. $L^\infty$ resolvent bounds for steady Boltzmann's equation Kinetic and Related Models. 10: 1255-1257. DOI: 10.3934/Krm.2017048 |
0.307 |
|
| 2017 |
Barker B, Humpherys J, Lyng G, Zumbrun K. Balanced flux formulations for multidimensional Evans-function computations for viscous shocks Quarterly of Applied Mathematics. 76: 531-545. DOI: 10.1090/Qam/1492 |
0.782 |
|
| 2017 |
Barker B, Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Note on the stability of viscous roll waves Comptes Rendus MéCanique. 345: 125-129. DOI: 10.1016/J.Crme.2016.11.001 |
0.696 |
|
| 2017 |
Gallay T, Texier B, Zumbrun K. On Nonlinear Stabilization of Linearly Unstable Maps Journal of Nonlinear Science. 27: 1641-1666. DOI: 10.1007/S00332-017-9381-6 |
0.423 |
|
| 2017 |
Sukhtayev A, Zumbrun K, Jung S, Venkatraman R. Diffusive Stability of Spatially Periodic Solutions of the Brusselator Model Communications in Mathematical Physics. 358: 1-43. DOI: 10.1007/S00220-017-3056-X |
0.464 |
|
| 2017 |
Humpherys J, Lyng G, Zumbrun K. Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks Archive For Rational Mechanics and Analysis. 226: 923-973. DOI: 10.1007/S00205-017-1147-7 |
0.85 |
|
| 2016 |
Barker B, Zumbrun K. Numerical proof of stability of viscous shock profiles Mathematical Models and Methods in Applied Sciences. 26: 2451-2469. DOI: 10.1142/S0218202516500585 |
0.736 |
|
| 2016 |
Lafitte O, Williams M, Zumbrun K. Block-Diagonalization of ODEs in the Semiclassical Limit and $C^\omega$ versus $C^\infty$ Stationary Phase Siam Journal On Mathematical Analysis. 48: 1773-1797. DOI: 10.1137/15M103042X |
0.344 |
|
| 2016 |
Rodrigues LM, Zumbrun K. Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow Siam Journal On Mathematical Analysis. 48: 268-280. DOI: 10.1137/15M1016242 |
0.476 |
|
| 2016 |
Jung S, Zumbrun K. Pointwise nonlinear stability of nonlocalized modulated periodic reaction–diffusion waves Journal of Differential Equations. 261: 3941-3963. DOI: 10.1016/J.Jde.2016.06.013 |
0.566 |
|
| 2016 |
Barker B, Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit Journal of Nonlinear Science. 1-58. DOI: 10.1007/S00332-016-9333-6 |
0.738 |
|
| 2015 |
Lafitte O, Williams M, Zumbrun K. High-frequency stability of detonations and turning points at infinity Siam Journal On Mathematical Analysis. 47: 1800-1878. DOI: 10.1137/140987547 |
0.365 |
|
| 2015 |
Barker B, Humpherys J, Lyng G, Zumbrun K. Viscous hyperstabilization of detonation waves in one space dimension Siam Journal On Applied Mathematics. 75: 885-906. DOI: 10.1137/140980223 |
0.835 |
|
| 2015 |
Texier B, Zumbrun K. Entropy criteria and stability of extreme shocks: A remark on a paper of Leger and Vasseur Proceedings of the American Mathematical Society. 143: 749-754. DOI: 10.1090/S0002-9939-2014-12426-9 |
0.37 |
|
| 2015 |
Pogan A, Yao J, Zumbrun K. O (2) Hopf bifurcation of viscous shock waves in a channel Physica D: Nonlinear Phenomena. 308: 59-79. DOI: 10.1016/J.Physd.2015.03.002 |
0.654 |
|
| 2015 |
Hendricks J, Humpherys J, Lyng G, Zumbrun K. Stability of Viscous Weak Detonation Waves for Majda’s Model Journal of Dynamics and Differential Equations. DOI: 10.1007/S10884-015-9440-3 |
0.833 |
|
| 2015 |
Barker B, Freistühler H, Zumbrun K. Convex Entropy, Hopf Bifurcation, and Viscous and Inviscid Shock Stability Archive For Rational Mechanics and Analysis. 217: 309-372. DOI: 10.1007/S00205-014-0838-6 |
0.708 |
|
| 2014 |
Gues O, Métivier G, Williams M, Zumbrun K. Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions Annales Scientifiques De L'Ecole Normale Superieure. 47: 181-243. DOI: 10.24033/Asens.2213 |
0.335 |
|
| 2014 |
Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit Transactions of the American Mathematical Society. 367: 2159-2212. DOI: 10.1090/S0002-9947-2014-06274-0 |
0.537 |
|
| 2014 |
Beck M, Nguyen TT, Sandstede B, Zumbrun K. Nonlinear stability of source defects in the complex Ginzburg-Landau equation Nonlinearity. 27: 739-786. DOI: 10.1088/0951-7715/27/4/739 |
0.469 |
|
| 2013 |
Humpherys J, Lyng G, Zumbrun K. Stability of viscous detonations for Majda's model Physica D: Nonlinear Phenomena. 259: 63-80. DOI: 10.1016/J.Physd.2013.06.001 |
0.851 |
|
| 2013 |
Barker B, Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation Physica D: Nonlinear Phenomena. 258: 11-46. DOI: 10.1016/J.Physd.2013.04.011 |
0.753 |
|
| 2013 |
Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations Inventiones Mathematicae. 1-99. DOI: 10.1007/S00222-013-0481-0 |
0.516 |
|
| 2013 |
Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Nonlocalized Modulation of Periodic Reaction Diffusion Waves: Nonlinear Stability Archive For Rational Mechanics and Analysis. 207: 693-715. DOI: 10.1007/S00205-012-0573-9 |
0.494 |
|
| 2013 |
Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation Archive For Rational Mechanics and Analysis. 207: 669-692. DOI: 10.1007/S00205-012-0572-X |
0.499 |
|
| 2012 |
Métivier G, Texier B, Zumbrun K. Existence of quasilinear relaxation shock profiles in systems with characteristic velocities Annales De La Faculté Des Sciences De Toulouse MathéMatiques. 21: 1-23. DOI: 10.5802/Afst.1327 |
0.417 |
|
| 2012 |
Zumbrun K. 2-modified characteristic fredholm determinants, hill's method, and the periodic evans function of gardner Zeitschrift Fur Analysis Und Ihre Anwendung. 31: 463-472. DOI: 10.4171/Zaa/1469 |
0.352 |
|
| 2012 |
Johnson MA, Zumbrun K. Convergence of Hill's method for nonselfadjoint operators Siam Journal On Numerical Analysis. 50: 64-78. DOI: 10.1137/100809349 |
0.313 |
|
| 2012 |
Humpherys J, Zumbrun K. Efficient numerical stability analysis of detonation waves in ZND Quarterly of Applied Mathematics. 70: 685-703. DOI: 10.1090/S0033-569X-2012-01276-X |
0.802 |
|
| 2012 |
Beck M, Nguyen T, Sandstede B, Zumbrun K. Towards nonlinear stability of sources via a modified Burgers equation Physica D: Nonlinear Phenomena. 241: 382-392. DOI: 10.1016/J.Physd.2011.10.018 |
0.509 |
|
| 2012 |
Barker B, Johnson MA, Noble P, Rodrigues LM, Zumbrun K. Stability of periodic Kuramoto-Sivashinsky waves Applied Mathematics Letters. 25: 824-829. DOI: 10.1016/J.Aml.2011.10.026 |
0.717 |
|
| 2012 |
Lafitte O, Williams M, Zumbrun K. The Erpenbeck High Frequency Instability Theorem for Zeldovitch-von Neumann-Döring Detonations Archive For Rational Mechanics and Analysis. 204: 141-187. DOI: 10.1007/S00205-011-0472-5 |
0.481 |
|
| 2012 |
Zumbrun K. High-Frequency Asymptotics and One-Dimensional Stability of Zel'dovich-von Neumann-Döring Detonations in the Small-Heat Release and High-Overdrive Limits Archive For Rational Mechanics and Analysis. 203: 701-717. DOI: 10.1007/S00205-011-0457-4 |
0.409 |
|
| 2011 |
Yarahmadian S, Barker B, Zumbrun K, Shaw SL. Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formation. Journal of Mathematical Biology. 63: 459-92. PMID 21076830 DOI: 10.1007/S00285-010-0379-Z |
0.806 |
|
| 2011 |
Johnson MA, Zumbrun K, Noble P. Nonlinear stability of viscous roll waves* Siam Journal On Mathematical Analysis. 43: 577-611. DOI: 10.1137/100785454 |
0.578 |
|
| 2011 |
Johnson MA, Zumbrun K. Nonlinear stability of periodic traveling-wave solutions of viscous conservation laws in dimensions one and two Siam Journal On Applied Dynamical Systems. 10: 189-211. DOI: 10.1137/100781808 |
0.558 |
|
| 2011 |
Zumbrun K. Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves Quarterly of Applied Mathematics. 69: 177-202. DOI: 10.1090/S0033-569X-2011-01221-6 |
0.567 |
|
| 2011 |
Barker B, Johnson MA, Rodrigues LM, Zumbrun K. Metastability of solitary roll wave solutions of the St. Venant equations with viscosity Physica D: Nonlinear Phenomena. 240: 1289-1310. DOI: 10.1016/J.Physd.2011.04.022 |
0.739 |
|
| 2011 |
Johnson MA, Zumbrun K. Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction-diffusion equations Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 28: 471-483. DOI: 10.1016/J.Anihpc.2011.05.003 |
0.548 |
|
| 2011 |
Texier B, Zumbrun K. Nash-Moser iteration and singular perturbations Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 28: 499-527. DOI: 10.1016/J.Anihpc.2011.05.001 |
0.41 |
|
| 2011 |
Texier B, Zumbrun K. Transition to Longitudinal Instability of Detonation Waves is Generically Associated with Hopf Bifurcation to Time-Periodic Galloping Solutions Communications in Mathematical Physics. 302: 1-51. DOI: 10.1007/S00220-010-1175-8 |
0.523 |
|
| 2011 |
Barker B, Lewicka M, Zumbrun K. Existence and Stability of Viscoelastic Shock Profiles Archive For Rational Mechanics and Analysis. 200: 491-532. DOI: 10.1007/S00205-010-0363-1 |
0.739 |
|
| 2011 |
Zumbrun K. Stability of Detonation Profiles in the ZND Limit Archive For Rational Mechanics and Analysis. 200: 141-182. DOI: 10.1007/S00205-010-0342-6 |
0.581 |
|
| 2010 |
Beck M, Hupkes HJ, Sandstede B, Zumbrun K. Nonlinear stability of semidiscrete shocks for two-sided schemes Siam Journal On Mathematical Analysis. 42: 857-903. DOI: 10.1137/090775634 |
0.52 |
|
| 2010 |
Johnson MA, Zumbrun K. Transverse instability of periodic traveling waves in the generalized Kadomtsev-Petviashvili equation Siam Journal On Mathematical Analysis. 42: 2681-2702. DOI: 10.1137/090770758 |
0.522 |
|
| 2010 |
Johnson MA, Zumbrun K. Rigorous Justification of the Whitham Modulation Equations for the Generalized Korteweg-de Vries Equation Studies in Applied Mathematics. 125: 69-89. DOI: 10.1111/J.1467-9590.2010.00482.X |
0.554 |
|
| 2010 |
Zumbrun K. A local greedy algorithm and higher-order extensions for global numerical continuation of analytically varying subspaces Quarterly of Applied Mathematics. 68: 557-561. DOI: 10.1090/S0033-569X-2010-01209-1 |
0.452 |
|
| 2010 |
Zumbrun K. Stability of noncharacteristic boundary layers in the standing-shock limit Transactions of the American Mathematical Society. 362: 6397-6424. DOI: 10.1090/S0002-9947-2010-05213-4 |
0.497 |
|
| 2010 |
Barker B, Lafitte O, Zumbrun K. Existence and stability of viscous shock profiles for 2-D isentropic MHD with infinite electrical resistivity Acta Mathematica Scientia. 30: 447-498. DOI: 10.1016/S0252-9602(10)60058-6 |
0.716 |
|
| 2010 |
Johnson MA, Zumbrun K, Bronski JC. On the modulation equations and stability of periodic generalized Kortewegde Vries waves via Bloch decompositions Physica D: Nonlinear Phenomena. 239: 2057-2065. DOI: 10.1016/J.Physd.2010.07.012 |
0.57 |
|
| 2010 |
Zumbrun K. The refined inviscid stability condition and cellular instability of viscous shock waves Physica D: Nonlinear Phenomena. 239: 1180-1187. DOI: 10.1016/J.Physd.2010.03.006 |
0.54 |
|
| 2010 |
Nguyen T, Plaza RG, Zumbrun K. Stability of radiative shock profiles for hyperbolic-elliptic coupled systems Physica D: Nonlinear Phenomena. 239: 428-453. DOI: 10.1016/J.Physd.2010.01.011 |
0.498 |
|
| 2010 |
Barker B, Humpherys J, Zumbrun K. One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics Journal of Differential Equations. 249: 2175-2213. DOI: 10.1016/J.Jde.2010.07.019 |
0.802 |
|
| 2010 |
Johnson MA, Zumbrun K. Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case Journal of Differential Equations. 249: 1213-1240. DOI: 10.1016/J.Jde.2010.04.015 |
0.561 |
|
| 2010 |
Nguyen T, Zumbrun K. Long-time stability of multi-dimensional noncharacteristic viscous boundary layers Communications in Mathematical Physics. 299: 1-44. DOI: 10.1007/S00220-010-1095-7 |
0.43 |
|
| 2010 |
Zumbrun K. Conditional Stability of Unstable Viscous Shock Waves in Compressible Gas Dynamics and MHD Archive For Rational Mechanics and Analysis. 198: 1031-1056. DOI: 10.1007/S00205-010-0359-X |
0.587 |
|
| 2010 |
Oh M, Zumbrun K. Stability and asymptotic behavior of periodic traveling wave solutions of viscous conservation laws in several dimensions Archive For Rational Mechanics and Analysis. 196: 1-20. DOI: 10.1007/S00205-010-0291-0 |
0.668 |
|
| 2010 |
Oh M, Zumbrun K. Erratum to: Stability and Asymptotic Behavior of Periodic Traveling Wave Solutions of Viscous Conservation Laws in Several Dimensions Archive For Rational Mechanics and Analysis. 196: 21-23. DOI: 10.1007/s00205-010-0291-0 |
0.431 |
|
| 2010 |
Guès O, Métivier G, Williams M, Zumbrun K. Existence and stability of noncharacteristic boundary layers for the compressible navier-stokes and viscous MHD equations Archive For Rational Mechanics and Analysis. 197: 1-87. DOI: 10.1007/S00205-009-0277-Y |
0.469 |
|
| 2010 |
Beck M, Sandstede B, Zumbrun K. Nonlinear stability of time-periodic viscous shocks Archive For Rational Mechanics and Analysis. 196: 1011-1076. DOI: 10.1007/S00205-009-0274-1 |
0.528 |
|
| 2009 |
Metivier G, Zumbrun K. Existence and sharp localization in velocity of small-amplitude Boltzmann shocks Kinetic and Related Models. 2: 667-705. DOI: 10.3934/Krm.2009.2.667 |
0.379 |
|
| 2009 |
Kwon B, Zumbrun K. Asymptotic behavior of multidimensional scalar relaxation shocks Journal of Hyperbolic Differential Equations. 6: 663-708. DOI: 10.1142/S0219891609001964 |
0.613 |
|
| 2009 |
Lattanzio C, Mascia C, Nguyen T, Plaza RG, Zumbrun K. Stability of scalar radiative shock profiles Siam Journal On Mathematical Analysis. 41: 2165-2206. DOI: 10.1137/09076026X |
0.564 |
|
| 2009 |
Yarahmadian S, Zumbrun K. Pointwise Green function bounds and long-time stability of large-amplitude noncharacteristic boundary layers Siam Journal On Mathematical Analysis. 40: 2328-2350. DOI: 10.1137/080714804 |
0.784 |
|
| 2009 |
Mascia C, Zumbrun K. Spectral stability of weak relaxation shock profiles Communications in Partial Differential Equations. 34: 119-136. DOI: 10.1080/03605300802553971 |
0.474 |
|
| 2009 |
Nguyen T, Zumbrun K. Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic-parabolic systems Journal Des Mathematiques Pures Et Appliquees. 92: 547-598. DOI: 10.1016/J.Matpur.2009.10.001 |
0.492 |
|
| 2009 |
Métivier G, Zumbrun K. Existence of semilinear relaxation shocks Journal Des Mathematiques Pures Et Appliquees. 92: 209-231. DOI: 10.1016/J.Matpur.2009.05.002 |
0.439 |
|
| 2009 |
Zumbrun K. Conditional stability of unstable viscous shocks Journal of Differential Equations. 247: 648-671. DOI: 10.1016/J.Jde.2009.02.017 |
0.57 |
|
| 2009 |
Raoofi M, Zumbrun K. Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems Journal of Differential Equations. 246: 1539-1567. DOI: 10.1016/J.Jde.2008.10.006 |
0.817 |
|
| 2009 |
Humpherys J, Lafitte O, Zumbrun K. Stability of isentropic Navier-Stokes shocks in the high-Mach number limit Communications in Mathematical Physics. 293: 1-36. DOI: 10.1007/S00220-009-0885-2 |
0.802 |
|
| 2009 |
Humpherys J, Lyng G, Zumbrun K. Spectral stability of ideal-gas shock layers Archive For Rational Mechanics and Analysis. 194: 1029-1079. DOI: 10.1007/S00205-008-0195-4 |
0.858 |
|
| 2009 |
Rubinstein J, Sternberg P, Zumbrun K. The resistive state in a superconducting wire: Bifurcation from the normal state Archive For Rational Mechanics and Analysis. 195: 117-158. DOI: 10.1007/S00205-008-0188-3 |
0.415 |
|
| 2009 |
Costanzino N, Humpherys J, Nguyen T, Zumbrun K. Spectral stability of noncharacteristic isentropic navier-stokes boundary layers Archive For Rational Mechanics and Analysis. 192: 537-587. DOI: 10.1007/S00205-008-0153-1 |
0.786 |
|
| 2008 |
Benzoni-Gavage S, Serre D, Zumbrun K. Transition to instability of planar viscous shock fronts: The refined stability condition Zeitschrift Fur Analysis Und Ihre Anwendung. 27: 381-406. DOI: 10.4171/Zaa/1361 |
0.536 |
|
| 2008 |
Zumbrun K. A sharp stability criterion for soliton-type propagating phase boundaries in Korteweg's model Zeitschrift Fur Analysis Und Ihre Anwendung. 27: 11-30. DOI: 10.4171/Zaa/1341 |
0.567 |
|
| 2008 |
Guès O, Métivier G, Williams M, Zumbrun K. Nonclassical multidimensional viscous and inviscid shocks Duke Mathematical Journal. 142: 1-110. DOI: 10.1215/00127094-2008-001 |
0.555 |
|
| 2008 |
Texier B, Zumbrun K. Galloping instability of viscous shock waves Physica D: Nonlinear Phenomena. 237: 1553-1601. DOI: 10.1016/J.Physd.2008.03.008 |
0.571 |
|
| 2008 |
Gesztesy F, Latushkin Y, Zumbrun K. Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves Journal Des Mathematiques Pures Et Appliquees. 90: 160-200. DOI: 10.1016/J.Matpur.2008.04.001 |
0.525 |
|
| 2008 |
Gues O, Métivier G, Williams M, Zumbrun K. Viscous boundary value problems for symmetric systems with variable multiplicities Journal of Differential Equations. 244: 309-387. DOI: 10.1016/J.Jde.2007.10.026 |
0.386 |
|
| 2008 |
Barker B, Humpherys J, Lafitte O, Rudd K, Zumbrun K. Stability of isentropic Navier-Stokes shocks Applied Mathematics Letters. 21: 742-747. DOI: 10.1016/J.Aml.2007.07.025 |
0.811 |
|
| 2008 |
Barker B, Humpherys J, Rudd K, Zumbrun K. Stability of viscous shocks in isentropic gas dynamics Communications in Mathematical Physics. 281: 231-249. DOI: 10.1007/S00220-008-0487-4 |
0.848 |
|
| 2008 |
Texier B, Zumbrun K. Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD Archive For Rational Mechanics and Analysis. 190: 107-140. DOI: 10.1007/S00205-008-0112-X |
0.527 |
|
| 2007 |
Lewicka M, Zumbrun K. Spectral stability conditions for shock wave patterns Journal of Hyperbolic Differential Equations. 4: 181-196. DOI: 10.1142/S0219891607001069 |
0.527 |
|
| 2007 |
Guès O, Métivier G, Williams M, Zumbrun K. Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems Communications in Partial Differential Equations. 32: 579-590. DOI: 10.1080/03605300600636804 |
0.42 |
|
| 2007 |
Lyng G, Raoofi M, Texier B, Zumbrun K. Pointwise Green function bounds and stability of combustion waves Journal of Differential Equations. 233: 654-698. DOI: 10.1016/J.Jde.2006.10.006 |
0.852 |
|
| 2007 |
Zumbrun K. Planar stability criteria for viscous shock waves of systems with real viscosity Lecture Notes in Mathematics. 1911: 229-326. DOI: 10.1007/978-3-540-72187-1_4 |
0.454 |
|
| 2006 |
Oh M, Zumbrun K. Low-frequency stability analysis of periodic traveling-wave solutions of viscous conservation laws in several dimensions Zeitschrift Fur Analysis Und Ihre Anwendung. 25: 1-21. DOI: 10.4171/Zaa/1275 |
0.707 |
|
| 2006 |
Howard P, Raoofi M, Zumbrun K. Sharp pointwise bound for perturbed viscous shock waves Journal of Hyperbolic Differential Equations. 3: 297-373. DOI: 10.1142/S021989160600080X |
0.833 |
|
| 2006 |
Mascia C, Zumbrun K. Stability of large-amplitude shock profiles of general relaxation systems Siam Journal On Mathematical Analysis. 37: 889-913. DOI: 10.1137/S0036141004435844 |
0.54 |
|
| 2006 |
Humpherys J, Zumbrun K. An efficient shooting algorithm for Evans function calculations in large systems Physica D: Nonlinear Phenomena. 220: 116-126. DOI: 10.1016/J.Physd.2006.07.003 |
0.803 |
|
| 2006 |
Howard P, Zumbrun K. Stability of undercompressive shock profiles Journal of Differential Equations. 225: 308-360. DOI: 10.1016/J.Jde.2005.09.001 |
0.744 |
|
| 2006 |
Guès CMIO, Métivier G, Williams M, Zumbrun K. Navier-Stokes regularization of multidimensional Euler shocks Annales Scientifiques De L'Ecole Normale Superieure. 39: 75-175. DOI: 10.1016/J.Ansens.2005.12.002 |
0.571 |
|
| 2006 |
Humpherys J, Sandstede B, Zumbrun K. Efficient computation of analytic bases in evans function analysis of large systems Numerische Mathematik. 103: 631-642. DOI: 10.1007/S00211-006-0004-7 |
0.727 |
|
| 2005 |
Texier B, Zumbrun K. Relative Poincaré-Hopf bifurcation and Galloping Instability of Traveling Waves Methods and Applications of Analysis. 12: 349-380. DOI: 10.4310/Maa.2005.V12.N4.A1 |
0.542 |
|
| 2005 |
Zumbrun K, Jenssen HK, Lyng G. Chapter 5 Stability of large-amplitude shock waves of compressible Navier-Stokes equations Handbook of Mathematical Fluid Dynamics. 3: 311-533. DOI: 10.1016/S1874-5792(05)80008-4 |
0.52 |
|
| 2005 |
Métivier G, Zumbrun K. Hyperbolic boundary value problems for symmetric systems with variable multiplicities Journal of Differential Equations. 211: 61-134. DOI: 10.1016/J.Jde.2004.06.002 |
0.526 |
|
| 2005 |
Guès O, Métivier G, Williams M, Zumbrun K. Existence and stability of multidimensional shock fronts in the vanishing viscosity limit Archive For Rational Mechanics and Analysis. 175: 151-244. DOI: 10.1007/S00205-004-0342-5 |
0.536 |
|
| 2004 |
Métivier G, Zumbrun K. Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems Discrete and Continuous Dynamical Systems. 11: 205-220. DOI: 10.3934/Dcds.2004.11.205 |
0.318 |
|
| 2004 |
Guès O, Métivier G, Williams M, Zumbrun K. Boundary layer and long time stability for multi-D viscous shocks Discrete and Continuous Dynamical Systems. 11: 131-160. DOI: 10.3934/Dcds.2004.11.131 |
0.444 |
|
| 2004 |
Plaza R, Zumbrun K. An Evans function approach to spectral stability of small-amplitude shock profiles Discrete and Continuous Dynamical Systems. 10: 885-924. DOI: 10.3934/Dcds.2004.10.885 |
0.564 |
|
| 2004 |
Lyng G, Zumbrun K. A stability index for detonation waves in Majda's model for reacting flow Physica D: Nonlinear Phenomena. 194: 1-29. DOI: 10.1016/J.Physd.2004.01.036 |
0.815 |
|
| 2004 |
Lyng G, Zumbrun K. One-dimensional stability of viscous strong detonation waves Archive For Rational Mechanics and Analysis. 173: 213-277. DOI: 10.1007/S00205-004-0317-6 |
0.827 |
|
| 2004 |
Mascia C, Zumbrun K. Stability of Large-Amplitude Viscous Shock Profiles of Hyperbolic-Parabolic Systems Archive For Rational Mechanics and Analysis. 172: 93-131. DOI: 10.1007/S00205-003-0293-2 |
0.586 |
|
| 2004 |
Mascia C, Zumbrun K. Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems Communications On Pure and Applied Mathematics. 57: 841-876. DOI: 10.1002/Cpa.20023 |
0.528 |
|
| 2004 |
Guès O, Métivier G, Williams M, Zumbrun K. Multidimensional viscous shocks II: The small viscosity limit Communications On Pure and Applied Mathematics. 57: 0141-0218. DOI: 10.1002/Cpa.10115 |
0.481 |
|
| 2004 |
Howard P, Zumbrun K. The Evans function and stability criteria for degenerate viscous shock waves Discrete and Continuous Dynamical Systems. 10: 837-855. |
0.528 |
|
| 2004 |
Guès O, Métivier G, Williams M, Zumbrun K. Boundary layer and long time stability for multidimensional viscous shocks Discrete and Continuous Dynamical Systems. 11: 131-160. |
0.367 |
|
| 2003 |
Mascia C, Zumbrun K. Pointwise Green Function Bounds for Shock Profiles of Systems with Real Viscosity Archive For Rational Mechanics and Analysis. 169: 177-263. DOI: 10.1007/S00205-003-0258-5 |
0.579 |
|
| 2003 |
Oh M, Zumbrun K. Stability of periodic solutions of conservation laws with viscosity: Pointwise bounds on the green function Archive For Rational Mechanics and Analysis. 166: 167-196. DOI: 10.1007/S00205-002-0217-6 |
0.709 |
|
| 2003 |
Oh M, Zumbrun K. Stability of periodic solutions of conservation laws with viscosity: Analysis of the Evans function Archive For Rational Mechanics and Analysis. 166: 99-166. DOI: 10.1007/S00205-002-0216-7 |
0.701 |
|
| 2002 |
Zumbrun K, Howard P. Errata to: 'Pointwise semigroup methods and stability of viscous shock waves' Indiana University Mathematics Journal. 51: 1017-1022. DOI: 10.1512/Iumj.2002.51.2410 |
0.748 |
|
| 2002 |
Mascia C, Zumbrun K. Pointwise green's function bounds and stability of relaxation shocks Indiana University Mathematics Journal. 51: 773-904. DOI: 10.1512/Iumj.2002.51.2184 |
0.626 |
|
| 2002 |
Benzoni-Gavage S, Rousset F, Serre D, Zumbrun K. Generic types and transitions in hyperbolic initial-boundary-value problems Royal Society of Edinburgh - Proceedings A. 132: 1073-1104. DOI: 10.1017/S030821050000202X |
0.528 |
|
| 2002 |
Azevedo AV, Marchesin D, Plohr B, Zumbrun K. Capillary instability in models for three-phase flow Zeitschrift Fur Angewandte Mathematik Und Physik. 53: 713-746. DOI: 10.1007/S00033-002-8180-5 |
0.365 |
|
| 2002 |
Humpherys J, Zumbrun K. Spectral stability of small-amplitude shock profiles for dissipative symmetric hyperbolic-parabolic systems Zeitschrift Fur Angewandte Mathematik Und Physik. 53: 20-34. DOI: 10.1007/S00033-002-8139-6 |
0.785 |
|
| 2002 |
Hoff D, Zumbrun K. Pointwise green's function bounds for multidimensional scalar viscous shock fronts Journal of Differential Equations. 183: 368-408. DOI: 10.1006/Jdeq.2001.4125 |
0.462 |
|
| 2001 |
Benzoni-Gavage S, Serre D, Zumbrun K. Alternate Evans functions and viscous shock waves Siam Journal On Mathematical Analysis. 32: 929-962. DOI: 10.1137/S0036141099361834 |
0.564 |
|
| 2001 |
Bertozzi AL, Münch A, Shearer M, Zumbrun K. Stability of compressive and undercompressive thin film travelling waves European Journal of Applied Mathematics. 12: 253-291. DOI: 10.1017/S0956792501004466 |
0.585 |
|
| 2001 |
Serre D, Zumbrun K. Boundary layer stability in real vanishing viscosity limit Communications in Mathematical Physics. 221: 267-292. DOI: 10.1007/S002200100486 |
0.398 |
|
| 2000 |
Zumbrun K. Refined wave-tracking and nonlinear stability of viscous lax shocks Methods and Applications of Analysis. 7: 747-768. DOI: 10.4310/Maa.2000.V7.N4.A8 |
0.551 |
|
| 2000 |
Hoff D, Zumbrun K. Asymptotic behavior of multidimensional scalar viscous shock fronts Indiana University Mathematics Journal. 49: 427-474. DOI: 10.1512/Iumj.2000.49.1942 |
0.465 |
|
| 2000 |
Yong WA, Zumbrun K. Existence of relaxation shock profiles for hyperbolic conservation laws Siam Journal On Applied Mathematics. 60: 1565-1575. DOI: 10.1137/S0036139999352705 |
0.434 |
|
| 2000 |
Zumbrun K. Dynamical stability of phase transitions in the p-system with viscosity-capillarity Siam Journal On Applied Mathematics. 60: 1913-1924. DOI: 10.1137/S0036139999352699 |
0.377 |
|
| 2000 |
Howard P, Zumbrun K. Pointwise Estimates and Stability for Dispersive–Diffusive Shock Waves Archive For Rational Mechanics and Analysis. 155: 85-169. DOI: 10.1007/S002050000110 |
0.75 |
|
| 2000 |
Howard P, Zumbrun K. Pointwise estimates and stability for dispersive - Diffusive shock waves Archive For Rational Mechanics and Analysis. 155: 85-169. |
0.404 |
|
| 1999 |
Zumbrun K, Serre D. Viscous and Inviscid Stability of Multidimensional Planar Shock Fronts Indiana University Mathematics Journal. 48: 937-992. DOI: 10.1512/Iumj.1999.48.1765 |
0.504 |
|
| 1999 |
Zumbrun K. On a nonlocal dispersive equation modeling particle suspensions Quarterly of Applied Mathematics. 57: 573-600. DOI: 10.1090/Qam/1704419 |
0.399 |
|
| 1999 |
Howard P, Zumbrun K. Shift invariance of the occupation time of the Brownian bridge process Statistics and Probability Letters. 45: 379-382. DOI: 10.1016/S0167-7152(99)00080-2 |
0.588 |
|
| 1999 |
Azevedo AV, Marchesin D, Plohr B, Zumbrun K. Bifurcation of nonclassical viscous shock profiles from the constant state Communications in Mathematical Physics. 202: 267-290. DOI: 10.1007/S002200050582 |
0.578 |
|
| 1998 |
Zumbrun K, Howard P. Pointwise Semigroup Methods and Stability of Viscous Shock Waves Indiana University Mathematics Journal. 47: 741-871. DOI: 10.1512/Iumj.1998.47.1604 |
0.779 |
|
| 1998 |
Gardner RA, Zumbrun K. The gap lemma and geometric criteria for instability of viscous shock profiles Communications On Pure and Applied Mathematics. 51: 796-855. DOI: 10.1002/(Sici)1097-0312(199807)51:7<797::Aid-Cpa3>3.0.Co;2-1 |
0.62 |
|
| 1997 |
Hoff D, Zumbrun K. Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves Zeitschrift Fur Angewandte Mathematik Und Physik. 48: 597-614. DOI: 10.1007/S000330050049 |
0.516 |
|
| 1997 |
Khodja M, Zumbrun K. Nonlinear stability of shock profiles for a dispersive equation Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 325: 163-166. |
0.46 |
|
| 1996 |
Azevedo AV, Marchesin D, Plohr BJ, Zumbrun K. Nonuniqueness of solutions of Riemann problems Zeitschrift Fur Angewandte Mathematik Und Physik. 47: 977-998. DOI: 10.1007/Bf00920046 |
0.476 |
|
| 1996 |
Szepessy A, Zumbrun K. Stability of rarefaction waves in viscous media Archive For Rational Mechanics and Analysis. 133: 249-298. DOI: 10.1007/Bf00380894 |
0.53 |
|
| 1995 |
Hoff D, Zumbrun K. Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow Indiana University Mathematics Journal. 44: 603-676. DOI: 10.1512/Iumj.1995.44.2003 |
0.427 |
|
| 1995 |
Zumbrun KR. Formation of diffusion waves in a scalar conservation law with convection Transactions of the American Mathematical Society. 347: 1023-1032. DOI: 10.1090/S0002-9947-1995-1283568-8 |
0.516 |
|
| 1995 |
Liu TP, Zumbrun K. On nonlinear stability of general undercompressive viscous shock waves Communications in Mathematical Physics. 174: 319-345. DOI: 10.1007/Bf02099605 |
0.781 |
|
| 1995 |
Liu TP, Zumbrun K. Nonlinear stability of an undercompressive shock for complex Burgers equation Communications in Mathematical Physics. 168: 163-186. DOI: 10.1007/Bf02099587 |
0.769 |
|
| 1994 |
Goodman J, Szepessy A, Zumbrun K. A Remark on the Stability of Viscous Shock Waves Siam Journal On Mathematical Analysis. 25: 1463-1467. DOI: 10.1137/S0036141092239648 |
0.539 |
|
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