Nonexistence of Global Weak Solutions to Some Properly and Improperly Posed Problems of Mathematical Physics: The Method of Unbounded Fourier Coefficients.
Nonlinear models for laser-plasma interaction
In this paper, we present a nonlinear model for laser-plasma interaction describing the Raman amplification. This system is a quasilinear coupling of several Zakharov systems. We handle the Cauchy problem and we give some well-posedness and ill-posedness result for some subsystems.