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2004 On a quasilinear Zakharov system describing laser-plasma interactions
M. Colin, T. Colin
Differential Integral Equations 17(3-4): 297-330 (2004). DOI: 10.57262/die/1356060435


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.


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


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

zbMATH: 1174.35528
MathSciNet: MR2037980
Digital Object Identifier: 10.57262/die/1356060435

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

Rights: Copyright © 2004 Khayyam Publishing, Inc.

Vol.17 • No. 3-4 • 2004
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