Space Propagation of Instabilities in Zakharov Equations
Analysis of PDEs
2009-11-13 v1
Abstract
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 instability result and prove that the mathematical problem is ill-posed in Sobolev spaces. We also show that it is well posed in spaces of analytic functions. Several consequences for the physical consistency of the model are discussed.
Cite
@article{arxiv.math/0703500,
title = {Space Propagation of Instabilities in Zakharov Equations},
author = {Guy Metivier},
journal= {arXiv preprint arXiv:math/0703500},
year = {2009}
}
Comments
39 p