Derivation of the Zakharov equations

@inproceedings{Texier2007DerivationOT,
  title={Derivation of the Zakharov equations},
  author={Benjamin Texier},
  year={2007}
}
This article continues the study, initiated in [28, 8], of the validity of the Zakharov model describing Langmuir turbulence. We give an existence theorem for a class of singular quasilinear equations. This theorem is valid for prepared initial data. We apply this result to the Euler-Maxwell equations describing laser-plasma interactions, to obtain, in a high-frequency limit, an asymptotic estimate that describes solutions of the Euler-Maxwell equations in terms of WKB approximate solutions… CONTINUE READING
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