Kevin Zumbrun
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The gap lemma and geometric criteria for instability of viscous shock profiles
RA Gardner, K Zumbrun
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1998
Pointwise semigroup methods and stability of viscous shock waves
K Zumbrun, P Howard
Indiana University Mathematics Journal, 741-871, 1998
Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
D Hoff, K Zumbrun
Indiana University Mathematics Journal, 603-676, 1995
Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
D Hoff, K Zumbrun
Zeitschrift für angewandte mathematik und physik 48 (4), 597-614, 1997
Multidimensional stability of planar viscous shock waves
K Zumbrun
Advances in the theory of shock waves, 307-516, 2001
Viscous and inviscid stability of multidimensional planar shock fronts
K Zumbrun, D Serre
Indiana University Mathematics Journal, 937-992, 1999
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems
G Métivier, K Zumbrun
American Mathematical Soc., 2005
Connectivity of phase boundaries in strictly convex domains
P Sternberg, K Zumbrun
Archive for Rational Mechanics and Analysis 141 (4), 375-400, 1998
Stability of large-amplitude shock waves of compressible Navier–Stokes equations
K Zumbrun, HK Jenssen, G Lyng
Handbook of mathematical fluid dynamics 3, 311-533, 2005
Pointwise Green function bounds for shock profiles of systems with real viscosity
C Mascia, K Zumbrun
Archive for rational mechanics and analysis 169 (3), 177-263, 2003
A Poincaré inequality with applications to volume-constrained area-minimizing surfaces
K Zumbrun, P Sternberg
Walter de Gruyter GmbH & Co. KG 1998 (503), 63-85, 1998
Stability of rarefaction waves in viscous media
A Szepessy, K Zumbrun
Archive for rational mechanics and analysis 133 (3), 249-298, 1996
An Evans function approach to spectral stability of small-amplitude shock profiles
R Plaza, K Zumbrun
arXiv preprint math/0205180, 2002
An efficient shooting algorithm for Evans function calculations in large systems
J Humpherys, K Zumbrun
Physica D: Nonlinear Phenomena 220 (2), 116-126, 2006
Alternate Evans functions and viscous shock waves
S Benzoni-Gavage, D Serre, K Zumbrun
SIAM Journal on Mathematical Analysis 32 (5), 929-962, 2001
Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
C Mascia, K Zumbrun
Archive for rational mechanics and analysis 172 (1), 93-131, 2004
Pointwise Green's function bounds and stability of relaxation shocks
C Mascia, K Zumbrun
Indiana University mathematics journal, 773-904, 2002
Stability of compressive and undercompressive thin film travelling waves
AL Bertozzi, A Münch, M Shearer, K Zumbrun
European Journal of Applied Mathematics 12 (3), 253-291, 2001
Stability of Periodic Solutions¶ of Conservation Laws with Viscosity:¶ Analysis of the Evans Function
M Oh, K Zumbrun
Archive for rational mechanics and analysis 166 (2), 99-166, 2003
A remark on the stability of viscous shock waves
J Goodman, A Szepessy, K Zumbrun
SIAM Journal on Mathematical Analysis 25 (6), 1463-1467, 1994
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