207 Publications (Page 1 of 9)
2020
Spectral stability of hydraulic shock profiles
Sukhtayev, Alim⋅Yang, Zhao and Zumbrun, Kevin
Physica D: Nonlinear Phenomena, vol. 405, pp. 132360, April 2020. | Journal Article
Stability of strong detonation waves for Majda's model with general ignition functions
Jung, Soyeun⋅Yang, Zhao and Zumbrun, Kevin
2020-03-10. | Journal Article
2019
Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit
Yang, Zhao and Zumbrun, Kevin
Journal de mathématiques pures et appliquées, 2019-09-00. | Journal Article
Existence and stability of steady compressible Navier–Stokes solutions on a finite interval with noncharacteristic boundary conditions
Melinand, Benjamin and Zumbrun, Kevin
Physica D: Nonlinear Phenomena, vol. 394, pp. 25, 2019-07-00. | Journal Article
Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier-Stokes equationsBarker, Blake⋅Melinand, Benjamin and Zumbrun, Kevin2019-11-15.
| Journal Article
Reverse norms and L∞ exponential decay for a class of degenerate evolution systems arising in kinetic theory
Pogan, Alin and Zumbrun, Kevin
Journal of Mathematical Analysis and Applications, vol. 475, (no. 1), pp. 202, 2019-07-01. | Journal Article
Spectral Stability of Inviscid Roll WavesJohnson, Mathew A⋅Johnson, Mathew A⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L. Miguel⋅Rodrigues, L. Miguel⋅Yang, Zhao⋅Yang, Zhao⋅Zumbrun, Kevin and Zumbrun, KevinCommunications in Mathematical Physics, vol. 367, (no. 1), pp. 316, 2019-04-00.
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Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks
Pogan, Alin and Zumbrun, Kevin
Kinetic & Related Models, vol. 12, (no. 1), pp. 36, 2019-00-00. | Journal Article
Transverse bifurcation of viscous slow MHD shocksBarker, Blake⋅Monteiro, Rafael and Zumbrun, Kevin2019-01-25.
| Journal Article
2018
A singular local minimizer for the volume- constrained minimal surface problem in a nonconvex domainSternberg, Peter⋅Sternberg, Peter⋅Zumbrun, Kevin and Zumbrun, KevinProceedings of the American Mathematical Society, vol. 146, (no. 12), pp. 5146, December 1, 2018.
| Journal Article
Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks
Pogan, Alin and Zumbrun, Kevin
Journal of Differential Equations, vol. 264, (no. 11), pp. 6808, 2018-06-05. | Journal Article
Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit
Yang, Zhao and Zumbrun, Kevin
2018-02-08. | Journal Article
Diffusive Stability of Spatially Periodic Solutions of the Brusselator Model
Sukhtayev, Alim⋅Zumbrun, Kevin⋅Jung, Soyeun and Venkatraman, Raghavendra
Communications in Mathematical Physics, vol. 358, (no. 1), pp. 43, 20180200. | Journal Article
Spectral stability of hydraulic shock profiles
Sukhtayev, Alim⋅Yang, Zhao and Zumbrun, Kevin
2018-10-02. | Journal Article
Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic wavesBarker, Blake⋅Barker, Blake⋅Jung, Soyeun⋅Jung, Soyeun⋅Zumbrun, Kevin and Zumbrun, KevinPhysica D: Nonlinear Phenomena, vol. 367, pp. 18, 2018-03-15.
| Journal Article
2017
A singular local minimizer for the volume constrained minimal surface problem in a nonconvex domainSternberg, Peter⋅Sternberg, Peter⋅Zumbrun, Kevin and Zumbrun, Kevin2017-11-01.
| Journal Article
Balanced flux formulations for multidimensional Evans function computations for viscous shocks
Barker, Blake⋅Humpherys, Jeffrey⋅Lyng, Gregory and Zumbrun, Kevin
2017-03-06. | Journal Article
Balanced flux formulations for multidimensional Evans-function computations for viscous shocksBarker, Blake⋅Barker, B.⋅Humpherys, J.⋅Humpherys, Jeffrey⋅Lyng, Gregory⋅Lyng, G.⋅Zumbrun, K. and Zumbrun, KevinQuarterly of Applied Mathematics, vol. 76, (no. 3), pp. 545, 2017-10-25.
| Journal Article
Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions
Melinand, Benjamin and Zumbrun, Kevin
2017-10-29. | Journal Article
L ∞ resolvent bounds for steady Boltzmann's Equation
Zumbrun, Kevin
Kinetic & Related Models, vol. 10, (no. 4), pp. 1257, 2017-00-00. | Journal Article
Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks
Humpherys, Jeffrey⋅Lyng, Gregory and Zumbrun, Kevin
Archive for Rational Mechanics and Analysis, vol. 226, (no. 3), pp. 973, 20171200. | Journal Article
Note on the stability of viscous roll waves/Note sur la stabilite des roll waves visqueusesBarker, Blake⋅Barker, Blake⋅Barker, B.⋅Johnson, Mathew⋅Johnson, Mathew A⋅Johnson, M.A.⋅Noble, P.⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, Luis Miguel⋅Rodrigues, Luis⋅Rodrigues, L.M.⋅Zumbrun, K.⋅Zumbrun, Kevin and Zumbrun, KevinComptes rendus - Mecanique, vol. 345, (no. 2), pp. 125, 20170201.
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Reverse norms and L infinity exponential decay for a class of degenerate evolution systems arising in kinetic theory
Pogan, Alin and Zumbrun, Kevin
2017-01-16. | Journal Article
Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number LimitBarker, Blake⋅Barker, Blake⋅Barker, B.⋅Johnson, Mathew⋅Johnson, Mathew⋅Johnson, M.A.⋅Noble, P.⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L⋅Rodrigues, L⋅Rodrigues, L.M.⋅Zumbrun, K.⋅Zumbrun, Kevin and Zumbrun, KevinJournal of Nonlinear Science, vol. 27, (no. 1), pp. 342, 20170200.
| Journal Article
2016
Center manifolds for a class of degenerate evolution equations and existence of small amplitude kinetic shocks
Pogan, Alin and Zumbrun, Kevin
2016-12-16. | Journal Article