On the Boyd-Kadomstev System for a three-wave coupling problem and its asymptotic limit
Idioma
en
Document de travail - Pré-publication
Este ítem está publicado en
2011
Resumen en inglés
We consider the Boyd-Kadomstev system which is in particular a model for the Brillouin backscattering in laser-plasma interaction. It couples the propagation of two laser beams, the incoming and the backscattered waves, ...Leer más >
We consider the Boyd-Kadomstev system which is in particular a model for the Brillouin backscattering in laser-plasma interaction. It couples the propagation of two laser beams, the incoming and the backscattered waves, with an ion acoustic wave which propagates at a much slower speed. The ratio $\varepsilon$ between the plasma sound velocity and the (group) velocity of light is small, with typical value of order $10^{-3}$. In this paper, we make a rigorous analysis of the behavior of solutions as $\varepsilon$ goes to 0. This problem can be cast in the general framework of fast singular limits for hyperbolic systems. The main new point which is addressed in our analysis is that the singular relaxation term present in the equation is a nonlinear first order system.< Leer menos
Palabras clave en inglés
Fast singular Limit
Nonlinear Hyperbolic System
Three-wave Coupling
Laser-plasma Interaction
Brillouin instability
Weak Plasma Turbulence
Boyd-Kadomstev System
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