35 citations · 44 across the 5 of their papers we have counts for
6 papers · 1 filter
Existence and sharp localization in velocity of small-amplitude Boltzmann shocks
Guy Metivier, Kevin Zumbrun
Using a weighted -contraction mapping argument based on the macro-micro decomposition of Liu and Yu, we give an elementary proof of existence, with sharp rates of decay and di…
Existence of semilinear relaxation shocks
Guy Metivier, Kevin Zumbrun
We establish existence with sharp rates of decay and distance from the Chapman--Enskog approximation of small-amplitude shock profiles of a class of semilinear relaxation systems i…
Space Propagation of Instabilities in Zakharov Equations
Guy Metivier
In this paper we study an initial boundary value problem for Zakharov's equations, describing the space propagation of a laser beam entering in a plasma. We prove a strong instabil…
The Cauchy Problem for Wave Equations with NonLipschitz Coefficients
Ferruccio Colombini, Guy Metivier
In this paper we study the Cauchy problem for second order strictly hyperbolic operators when the coefficients of the principal part are not Lipschitz continuous, but only "Log-Lip…
Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
Bresch Didier, Guy Metivier
This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed t…
Viscous Boundary Value Problems for Symmetric Systems with Variable Multiplicities
Olivier Gues, Guy Métivier, Mark Williams +1
Extending investigations of Métivier&Zumbrun in the hyperbolic case, we treat stability of viscous shock and boundary layers for viscous perturbations of multidimensional hyperboli…