Kevin Zumbrun

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Mathew A. JohnsonProfessor of Mathematics, University of KansasVerified email at math.ku.edu
Blake BarkerAssociate Professor, Brigham Young UniversityVerified email at math.byu.edu
Jeffrey HumpherysUniversity of UtahVerified email at hsc.utah.edu
Gregory D. LyngOptum Labs at UnitedHealth GroupVerified email at optum.com
Miguel RodriguesIRMAR, Univ Rennes & IUFVerified email at univ-rennes1.fr
Pascal NobleInstitut de Mathématiques de Toulouse, INSA ToulouseVerified email at math.univ-toulouse.fr
Corrado MasciaFull Professor in Mathematical Analysis, Sapienza, University of Rome, ItalyVerified email at uniroma1.it
Peter HowardProfessor of Mathematics, Texas A&M UniversityVerified email at math.tamu.edu
Benjamin TexierUniversite Claude Bernard Lyon 1Verified email at math.univ-lyon1.fr
Wen-An YongProfessor of Applied Mathematics, Tsinghua UniversityVerified email at tsinghua.edu.cn
Toan T. NguyenPenn State UniversityVerified email at math.psu.edu
Bjorn SandstedeProfessor of Applied Mathematics, Brown UniversityVerified email at brown.edu
Margaret BeckProfessor of Mathematics, Boston UniversityVerified email at bu.edu
Ramon PlazaUniversidad Nacional Autonoma de MexicoVerified email at mym.iimas.unam.mx
Mohammadreza RaoofiVerified email at cc.iut.ac.ir
Alim SukhtayevMiami UniversityVerified email at miamioh.edu
Andrea BertozziProf. of Math. and Mech. & Aero. Eng., Betsy Wood Knapp Chair for Innovation and Creativity, UCLAVerified email at math.ucla.edu
Michael ShearerProfessor of Mathematics, North Carolina State UniversityVerified email at ncsu.edu
Shantia YarahmadianAssociate Professor of Mathematics, Mississippi State UniversityVerified email at math.msstate.edu
Russell LyonsProfessor of Mathematics, Indiana UniversityVerified email at indiana.edu

Kevin Zumbrun

Indiana University

Verified email at indiana.edu - Homepage

PDE fluid dynamics shock theory pattern formation


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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	385	1998
Pointwise semigroup methods and stability of viscous shock waves K Zumbrun, P Howard Indiana university mathematics journal, 741-871, 1998	363	1998
Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow D Hoff, K Zumbrun Indiana University Mathematics Journal, 603-676, 1995	346	1995
Stability of multidimensional shocks TP Liu, G Métivier, J Smoller, B Temple, WA Yong, K Zumbrun, G Métivier Advances in the theory of shock waves, 25-103, 2001	201	2001
Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves D Hoff, K Zumbrun Zeitschrift für angewandte mathematik und physik 48 (4), 597-614, 1997	190	1997
Multidimensional stability of planar viscous shock waves TP Liu, G Métivier, J Smoller, B Temple, WA Yong, K Zumbrun, K Zumbrun Advances in the theory of shock waves, 307-516, 2001	176	2001
Viscous and inviscid stability of multidimensional planar shock fronts K Zumbrun, D Serre Indiana University Mathematics Journal, 937-992, 1999	171	1999
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems G Métivier, K Zumbrun American Mathematical Soc., 2005	162	2005
Connectivity of phase boundaries in strictly convex domains P Sternberg, K Zumbrun Archive for Rational Mechanics and Analysis 141 (4), 375-400, 1998	159	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	147	2005
Basic aspects of hyperbolic relaxation systems TP Liu, G Métivier, J Smoller, B Temple, WA Yong, K Zumbrun, WA Yong Advances in the theory of shock waves, 259-305, 2001	139	2001
Pointwise Green function bounds for shock profiles of systems with real viscosity C Mascia, K Zumbrun Archive for rational mechanics and analysis 169, 177-263, 2003	127	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	117	1998
Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems C Mascia, K Zumbrun Archive for rational mechanics and analysis 172, 93-131, 2004	113	2004
An Evans function approach to spectral stability of small-amplitude shock profiles R Plaza, K Zumbrun arXiv preprint math/0205180, 2002	109	2002
Stability of rarefaction waves in viscous media A Szepessy, K Zumbrun Archive for rational mechanics and analysis 133 (3), 249-298, 1996	107	1996
An efficient shooting algorithm for Evans function calculations in large systems J Humpherys, K Zumbrun Physica D: Nonlinear Phenomena 220 (2), 116-126, 2006	106	2006
Pointwise Green's function bounds and stability of relaxation shocks C Mascia, K Zumbrun Indiana University mathematics journal, 773-904, 2002	100	2002
Alternate Evans functions and viscous shock waves S Benzoni-Gavage, D Serre, K Zumbrun SIAM Journal on Mathematical Analysis 32 (5), 929-962, 2001	95	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, 99-166, 2003	91	2003

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