Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897877 | Physica D: Nonlinear Phenomena | 2008 | 15 Pages |
Abstract
In this paper we study an initial-boundary-value problem for the Zakharov equations, describing the space propagation of a laser beam entering 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guy Métivier,