35 citations · 91 across the 17 of their papers we have counts for
17 papers · 1 filter
Large-amplitude modulation of periodic traveling waves
Guy Metivier, Kevin Zumbrun
We introduce a new approach to the study of modulation of high-frequency periodic wave patterns, based on pseudodifferential analysis, multi-scale expansion, and Kreiss symmetrizer…
Waves Interacting With A Partially Immersed Obstacle In The Boussinesq Regime
D. Bresch, David Lannes, Guy Metivier
This paper is devoted to the derivation and mathematical analysis of a wave-structure interaction problem which can be reduced to a transmission problem for a Boussinesq system. In…
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations
David Lannes, Guy Metivier
The Green-Naghdi equations are a nonlinear dispersive perturbation of the nonlinear shallow water equations, more precise by one order of approximation. These equations are commonl…
The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we study the well-posedness of the Cauchy problem for first order hyperbolic systems with constant multiplicities and with low regularity coefficients depending just…
well posed Cauchy Problems and Symmetrizability of First Order Systems
Guy Metivier
The Cauchy problem for first order system $L(t, x, \D_t, \D_x)$ is known to be well posed in when a it admits a microlocal symmetrizer which is smooth in and…
Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions
Olivier Gues, Guy Metivier, Mark Williams +1
We initiate the study of noncharacteristic boundary layers in hyperbolic-parabolic problems with Neumann boundary conditions. More generally, we study boundary layers with mixed Di…