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A singular local minimizer for the volume- constrained minimal surface problem in a nonconvex domain

Proceedings of the American Mathematical Society, 2018-12, Vol.146 (12), p.5141-5146

2018

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Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato–Lefever waves

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2024-03, Vol.41 (2), p.497-510

Zumbrun, Kevin

2024

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Spectral decomposition and decay to grossly determined solutions for a simplified BGK model

Journal of functional analysis, 2024-10, Vol.287 (8), p.110546, Article 110546

2024

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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, 2015-03, Vol.367 (3), p.2159-2212

2015

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Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur

Proceedings of the American Mathematical Society, 2015-02, Vol.143 (2), p.749-754

2015

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CONVERGENCE OF HILL'S METHOD FOR NONSELFADJOINT OPERATORS

SIAM journal on numerical analysis, 2012-01, Vol.50 (1), p.64-78

2012

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Existence and stability of steady compressible Navier–Stokes solutions on a finite interval with noncharacteristic boundary conditions

Physica. D, 2019-07, Vol.394, p.16-25

2019

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A Sturm–Liouville theorem for quadratic operator pencils

Journal of Differential Equations, 2020-03, Vol.268 (7), p.3848-3879

2020

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Reverse norms and L∞ exponential decay for a class of degenerate evolution systems arising in kinetic theory

Journal of mathematical analysis and applications, 2019-07, Vol.475 (1), p.190-202

2019

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

Communications on pure and applied mathematics, 1998-07, Vol.51 (7), p.797-855

1998

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Efficient numerical stability analysis of detonation waves in ZND

Quarterly of applied mathematics, 2012-12, Vol.70 (4), p.685-703

2012

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

Journal of Differential Equations, 2018-06, Vol.264 (11), p.6752-6808

2018

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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, 2019-12, Vol.132, p.27-40

2019

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Stability of Detonation Profiles in the ZND Limit

Archive for rational mechanics and analysis, 2011-04, Vol.200 (1), p.141-182

Zumbrun, Kevin

2011

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Numerical proof of stability of viscous shock profiles

Mathematical models & methods in applied sciences, 2016-12, Vol.26 (13), p.2451-2469

2016

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L ∞ resolvent bounds for steady Boltzmann's Equation

Kinetic & related models, 2017-12, Vol.10 (4), p.1255-1257

Zumbrun, Kevin

2017

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Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation

Kinetic & related models, 2022-04, Vol.15 (4), p.729

2022

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Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks

Archive for rational mechanics and analysis, 2017-12, Vol.226 (3), p.923-973

2017

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Stability of Hydraulic Shock Profiles

Archive for rational mechanics and analysis, 2020, Vol.235 (1), p.195-285

2020

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A SINGULAR LOCAL MINIMIZER FOR THE VOLUME-CONSTRAINED MINIMAL SURFACE PROBLEMIN A NONCONVEX DOMAIN

Proceedings of the American Mathematical Society, 2018-12, Vol.146 (12), p.5141-5146

2018

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Pointwise nonlinear stability of nonlocalized modulated periodic reaction–diffusion waves

Journal of Differential Equations, 2016-10, Vol.261 (7), p.3941-3963

2016

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Transverse bifurcation of viscous slow MHD shocks

Physica. D, 2021-06, Vol.420, p.132857, Article 132857

2021

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Spectral stability of hydraulic shock profiles

Physica. D, 2020-04, Vol.405, p.132360, Article 132360

2020

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A CALCULUS PROOF OF THE CRAMÉR–WOLD THEOREM

Proceedings of the American Mathematical Society, 2018-03, Vol.146 (3), p.1331-1334

2018

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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, 2012-03, Vol.203 (3), p.701-717

Zumbrun, Kevin

2012

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A singular local minimizer for the volume- constrained minimal surface problem in a nonconvex domain

Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato–Lefever waves

Spectral decomposition and decay to grossly determined solutions for a simplified BGK model

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

Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur

CONVERGENCE OF HILL'S METHOD FOR NONSELFADJOINT OPERATORS

Existence and stability of steady compressible Navier–Stokes solutions on a finite interval with noncharacteristic boundary conditions

A Sturm–Liouville theorem for quadratic operator pencils

Reverse norms and L∞ exponential decay for a class of degenerate evolution systems arising in kinetic theory

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

Efficient numerical stability analysis of detonation waves in ZND

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

Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit

Stability of Detonation Profiles in the ZND Limit

Numerical proof of stability of viscous shock profiles

L ∞ resolvent bounds for steady Boltzmann's Equation

Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation

Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks

Stability of Hydraulic Shock Profiles

A SINGULAR LOCAL MINIMIZER FOR THE VOLUME-CONSTRAINED MINIMAL SURFACE PROBLEMIN A NONCONVEX DOMAIN

Pointwise nonlinear stability of nonlocalized modulated periodic reaction–diffusion waves

Transverse bifurcation of viscous slow MHD shocks

Spectral stability of hydraulic shock profiles

A CALCULUS PROOF OF THE CRAMÉR–WOLD THEOREM

High-Frequency Asymptotics and One-Dimensional Stability of Zel’dovich–von Neumann–Döring Detonations in the Small-Heat Release and High-Overdrive Limits

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