Open Access
Translator Disclaimer
2004 On a quasilinear Zakharov system describing laser-plasma interactions
M. Colin, T. Colin
Differential Integral Equations 17(3-4): 297-330 (2004).

Abstract

In this paper, starting from the bi-fluid Euler-Maxwell system, we derive a complete set of Zakharov-type equations describing laser-plasma interactions. This system involves a quasilinear part which is not hyperbolic and exhibits some elliptic zones. This difficulty is overcome by making a change of unknowns that are strongly related to the dispersive part. This change of variable is a symmetrization of the quasilinear part and is the key of this paper. This shows that the Cauchy problem is locally well-posed.

Citation

Download Citation

M. Colin. T. Colin. "On a quasilinear Zakharov system describing laser-plasma interactions." Differential Integral Equations 17 (3-4) 297 - 330, 2004.

Information

Published: 2004
First available in Project Euclid: 21 December 2012

zbMATH: 1174.35528
MathSciNet: MR2037980

Subjects:
Primary: 35Q55
Secondary: 35Q60 , 76X05 , 78A60 , 82D10

Rights: Copyright © 2004 Khayyam Publishing, Inc.

JOURNAL ARTICLE
34 PAGES


SHARE
Vol.17 • No. 3-4 • 2004
Back to Top