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1

A Poincaré inequality with applications to volume-constrained area-minimizing surfaces

Zumbrun, Kevin, Sternberg, Peter

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

1998

Language:

english

File:

PDF, 198 KB

english, 1998

2

Multidimensional Viscous Shocks I: Degenerate Symmetrizers and Long Time Stability

Olivier Guès, Guy Métivier, Mark Williams and Kevin Zumbrun

Journal:

Journal of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 4.01 MB

english, 2005

3

Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit

Johnson, Mathew A., Noble, Pascal, Rodrigues, L. Miguel, Zumbrun, Kevin

Journal:

Transactions of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 802 KB

english, 2014

4

10.1090/s0894-0347-04-00470-9

Guès, Olivier, Métivier, Guy, Williams, Mark, Zumbrun, Kevin

Journal:

Journal of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 741 KB

english, 2005

5

Stability of Large-Amplitude Viscous Shock Profiles of Hyperbolic-Parabolic Systems

Corrado Mascia, Kevin Zumbrun

Journal:

Archive for Rational Mechanics and Analysis

Year:

2004

Language:

english

File:

PDF, 291 KB

english, 2004

6

Stability of Isentropic Navier–Stokes Shocks in the High-Mach Number Limit

Jeffrey Humpherys, Olivier Lafitte, Kevin Zumbrun

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 735 KB

english, 2010

7

The Erpenbeck High Frequency Instability Theorem for Zeldovitch–von Neumann–Döring Detonations

Olivier Lafitte, Mark Williams, Kevin Zumbrun

Journal:

Archive for Rational Mechanics and Analysis

Year:

2012

Language:

english

File:

PDF, 564 KB

english, 2012

8

Dynamical Stability of Phase Transitions in the p -System with Viscosity-Capillarity

Journal:

SIAM Journal on Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 163 KB

english, 2000

9

Existence of Relaxation Shock Profiles for Hyperbolic Conservation Laws

Zumbrun, Kevin, Yong, Wen-An

Journal:

SIAM Journal on Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 154 KB

english, 2000

10

Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation

Johnson, Mathew A., Zumbrun, Kevin

Journal:

SIAM Journal on Mathematical Analysis

Year:

2010

Language:

english

File:

PDF, 283 KB

english, 2010

11

Alternate Evans Functions and Viscous Shock Waves

Benzoni-Gavage, Sylvie, Serre, Denis, Zumbrun, Kevin

Journal:

SIAM Journal on Mathematical Analysis

Year:

2001

Language:

english

File:

PDF, 304 KB

english, 2001

12

Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations

Johnson, Mathew A., Noble, Pascal, Rodrigues, L. Miguel, Zumbrun, Kevin

Journal:

Inventiones mathematicae

Year:

2014

Language:

english

File:

PDF, 2.52 MB

english, 2014

13

Existence of Relaxation Shock Profiles for Hyperbolic Conservation Laws

Wen-An Yong and Kevin Zumbrun

Journal:

SIAM Journal on Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 285 KB

english, 2000

14

Dynamical Stability of Phase Transitions in the p-System with Viscosity-Capillarity

Journal:

SIAM Journal on Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 324 KB

english, 2000

15

Convex Entropy, Hopf Bifurcation, and Viscous and Inviscid Shock Stability

Barker, Blake, Freistühler, Heinrich, Zumbrun, Kevin

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 1.36 MB

english, 2015

16

Formation of Diffusion Waves in a Scalar Conservation Law with Convection

Zumbrun, Kevin R.

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 1.04 MB

english, 1995

17

Homogeneous Partial Derivatives of Radial Functions

Lyons, Russell, Zumbrun, Kevin

Journal:

Proceedings of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 112 KB

english, 1994

18

Stability of noncharacteristic boundary layers in the standing-shock limit

Journal:

Transactions of the American Mathematical Society

Year:

2010

Language:

english

File:

PDF, 656 KB

english, 2010

19

Viscous Hyperstabilization of Detonation Waves in One Space Dimension

Barker, Blake, Humpherys, Jeffrey, Lyng, Gregory, Zumbrun, Kevin

Journal:

SIAM Journal on Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 693 KB

english, 2015

20

[Handbook of Mathematical Fluid Dynamics] Volume 3 || Stability of Large-Amplitude Shock Waves of Compressible Navier–Stokes Equations

Year:

2005

Language:

english

File:

PDF, 3.14 MB

english, 2005

21

Formation of diffusion waves in a scalar conservation law with convection

Zumbrun, Kevin R.

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 829 KB

english, 1995

22

Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit

Barker, Blake, Johnson, Mathew A., Noble, Pascal, Rodrigues, L. Miguel, Zumbrun, Kevin

Journal:

Journal of Nonlinear Science

Year:

2017

Language:

english

File:

PDF, 1.83 MB

english, 2017

23

Pointwise semigroup methods and stability of viscous shock waves

Zumbrun, Kevin, Howard, Peter

Journal:

Indiana University Mathematics Journal

Year:

1998

Language:

english

File:

PDF, 921 KB

english, 1998

24

Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow

Hoff, David, Zumbrun, Kevin

Journal:

Indiana University Mathematics Journal

Year:

1995

Language:

english

File:

PDF, 486 KB

english, 1995

25

Diffusive Stability of Spatially Periodic Solutions of the Brusselator Model

Sukhtayev, Alim, Zumbrun, Kevin, Jung, Soyeun, Venkatraman, Raghavendra

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 701 KB

english, 2017

26

Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks

Pogan, Alin, Zumbrun, Kevin

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 2.46 MB

english, 2018

27

Balanced flux formulations for multidimensional Evans-function computations for viscous shocks

Barker, Blake, Humpherys, Jeffrey, Lyng, Gregory, Zumbrun, Kevin

Journal:

Quarterly of Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 239 KB

english, 2017

28

Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations

Barker, Blake, Humpherys, Jeffrey, Lyng, Gregory, Zumbrun, Kevin

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 603 KB

english, 2018

29

Pointwise Green's function bounds and stability of relaxation shocks

Mascia, Corrado, Zumbrun, Kevin

Journal:

Indiana University Mathematics Journal

Year:

2002

Language:

english

File:

PDF, 832 KB

english, 2002

30

Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves

Journal:

Quarterly of Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 659 KB

english, 2011

31

The gap lemma and geometric criteria for instability of viscous shock profiles

Robert A. Gardner, Kevin Zumbrun

Journal:

Communications on Pure and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 634 KB

english, 1998

32

Multidimensional viscous shocks II: The small viscosity limit

Olivier Guès, Guy Métivier, Mark Williams, Kevin Zumbrun

Journal:

Communications on Pure and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 526 KB

english, 2004

33

N-waves in elasticity

Journal:

Communications on Pure and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 785 KB

english, 1993

34

Decay rates for nonconvex systems of conservation laws

Journal:

Communications on Pure and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 1.34 MB

english, 1993

35

Pointwise Green's Function Bounds for Multidimensional Scalar Viscous Shock Fronts

David Hoff, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2002

Language:

english

File:

PDF, 341 KB

english, 2002

36

Stability of isentropic Navier–Stokes shocks

Blake Barker, Jeffrey Humpherys, Olivier Lafitte, Keith Rudd, Kevin Zumbrun

Journal:

Applied Mathematics Letters

Year:

2008

Language:

english

File:

PDF, 302 KB

english, 2008

37

Nash–Moser iteration and singular perturbations

Benjamin Texier, Kevin Zumbrun

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2011

Language:

english

File:

PDF, 319 KB

english, 2011

38

Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations

Mathew A. Johnson, Kevin Zumbrun

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2011

Language:

english

File:

PDF, 187 KB

english, 2011

39

Navier–Stokes regularization of multidimensional Euler shocks

C.M.I. Olivier Guès, Guy Métivier, Mark Williams, Kevin Zumbrun

Journal:

Annales Scientifiques de l'École Normale Supérieure

Year:

2006

File:

PDF, 877 KB

2006

40

Hyperbolic boundary value problems for symmetric systems with variable multiplicities

Guy Métivier, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 628 KB

english, 2005

41

Stability of undercompressive shock profiles

Peter Howard, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 348 KB

english, 2006

42

Pointwise Green function bounds and stability of combustion waves

Gregory Lyng, Mohammadreza Raoofi, Benjamin Texier, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 342 KB

english, 2007

43

Viscous boundary value problems for symmetric systems with variable multiplicities

Olivier Gues, Guy Métivier, Mark Williams, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 570 KB

english, 2008

44

Stability of undercompressive viscous shock profiles of hyperbolic–parabolic systems

Mohammadreza Raoofi, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 308 KB

english, 2009

45

Conditional stability of unstable viscous shocks

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 287 KB

english, 2009

46

Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case

Mathew A. Johnson, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 342 KB

english, 2010

47

One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics

Blake Barker, Jeffrey Humpherys, Kevin Zumbrun

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 933 KB

english, 2010

48

Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves

Fritz Gesztesy, Yuri Latushkin, Kevin Zumbrun

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2008

File:

PDF, 420 KB

2008

49

Existence of semilinear relaxation shocks

Guy Métivier, Kevin Zumbrun

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2009

Language:

english

File:

PDF, 262 KB

english, 2009

50

Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic–parabolic systems

Toan Nguyen, Kevin Zumbrun

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2009

Language:

english

File:

PDF, 489 KB

english, 2009

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