Abstract. We examine the spectrum of shock profiles for the Jin-Xin relaxation scheme for systems of hyperbolic conservation laws in one spatial dimension. By using a weighted norm estimate, we prove that these shock profiles exhibit strong spectral stability in the weak shock limit. 1
In this paper we study the asymptotic nonlinear stability of discrete shocks for the Lax-Friedrichs ...
We establish nonlinear L(1)boolean ANDH(3)-->L(p) orbital stability, 2less than or equal topless tha...
This dissertation establishes spectral stability of traveling waves in two different settings. In th...
AbstractThis paper studies the asymptotic stability of traveling relaxation shock profiles for hyper...
This paper studies the asymptotic stability of traveling relaxation shock profiles for hyperbolic sy...
AbstractWe investigate stability of multidimensional planar shock profiles of a general hyperbolic r...
AbstractIn this paper, we first construct a contact wave for 1-dimensional Jin–Xin relaxation system...
Using a combination of Kawashima- and Goodman-type energy estimates, we establish spectral stability...
We investigate stability of multidimensional planar shock profiles of a general hyperbolic relaxatio...
We establish sharp pointwise Green's function bounds and consequent linearized stability for smooth ...
Building on previous analyses carried out in [Mascia and Zumbrun, Indiana Univ. Math. J., 51 (2002),...
AbstractIn this paper we study the asymptotic equivalence of a general system of 1-D conservation la...
International audienceCombining pointwise Green's function bounds obtained in a companion paper [36]...
We are interested here in the theoretical study of the stability of shock profiles for several appro...
AbstractExtending to systems of hyperbolic–parabolic conservation laws results of Howard and Zumbrun...
In this paper we study the asymptotic nonlinear stability of discrete shocks for the Lax-Friedrichs ...
We establish nonlinear L(1)boolean ANDH(3)-->L(p) orbital stability, 2less than or equal topless tha...
This dissertation establishes spectral stability of traveling waves in two different settings. In th...
AbstractThis paper studies the asymptotic stability of traveling relaxation shock profiles for hyper...
This paper studies the asymptotic stability of traveling relaxation shock profiles for hyperbolic sy...
AbstractWe investigate stability of multidimensional planar shock profiles of a general hyperbolic r...
AbstractIn this paper, we first construct a contact wave for 1-dimensional Jin–Xin relaxation system...
Using a combination of Kawashima- and Goodman-type energy estimates, we establish spectral stability...
We investigate stability of multidimensional planar shock profiles of a general hyperbolic relaxatio...
We establish sharp pointwise Green's function bounds and consequent linearized stability for smooth ...
Building on previous analyses carried out in [Mascia and Zumbrun, Indiana Univ. Math. J., 51 (2002),...
AbstractIn this paper we study the asymptotic equivalence of a general system of 1-D conservation la...
International audienceCombining pointwise Green's function bounds obtained in a companion paper [36]...
We are interested here in the theoretical study of the stability of shock profiles for several appro...
AbstractExtending to systems of hyperbolic–parabolic conservation laws results of Howard and Zumbrun...
In this paper we study the asymptotic nonlinear stability of discrete shocks for the Lax-Friedrichs ...
We establish nonlinear L(1)boolean ANDH(3)-->L(p) orbital stability, 2less than or equal topless tha...
This dissertation establishes spectral stability of traveling waves in two different settings. In th...