Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Métivier, Guy"'
Autor:
Metivier, Guy, Zumbrun, Kevin
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 estimates like those in hyperbolic and hyperbolic-parabolic boundary-
Externí odkaz:
http://arxiv.org/abs/2011.11817
Publikováno v:
Analysis & PDE 14 (2021) 1085-1124
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. Initial boundary value problems and transmission problems in dimension d
Externí odkaz:
http://arxiv.org/abs/1902.04837
Autor:
Lannes, David, Metivier, Guy
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 commonly used for the simulation of coastal flows, and in particular in regio
Externí odkaz:
http://arxiv.org/abs/1710.03651
Publikováno v:
Indiana University Mathematics Journal, 2020 Jan 01. 69(3), 785-836.
Externí odkaz:
https://www.jstor.org/stable/26959653
The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuous, uniformly in time and space variables. For the global in space prob
Externí odkaz:
http://arxiv.org/abs/1610.03884
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 on the time variable. We consider Zygmund and log-Zygmund type assumpt
Externí odkaz:
http://arxiv.org/abs/1404.4654
Autor:
Metivier, Guy
The Cauchy problem for first order system $L(t, x, \D_t, \D_x)$ is known to be well posed in $L^2$ when a it admits a microlocal symmetrizer $S(t,x, \xi)$ which is smooth in $\xi$ and Lipschitz continuous in $(t, x)$. This paper contains three main r
Externí odkaz:
http://arxiv.org/abs/1310.4760
Publikováno v:
J. Math. Pures Appl. (9), 100(4), 2013, 455-475
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space. In particular, this estimate implies the well-posedness for the rela
Externí odkaz:
http://arxiv.org/abs/1305.1292
Publikováno v:
Comm. Partial Differential Equations, 38(10), 2013, 1791-1817
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension $N\geq1$. We will suppose the coefficients to be log-Zygmund continuous in time and log-Lipschitz continuous in s
Externí odkaz:
http://arxiv.org/abs/1305.1095