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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2005

Quasi-neutral limit for a viscous capillary model of plasma

Résumé

The purpose of this work is to study the quasi-neutral limit of a viscous capillary model of plasma expressed as a so-called Navier–Stokes–Poisson–Korteweg model. The existence of global weak solutions for a given Debye length $\lambda$ is obtained in a periodic box domain $T^3$ or a strip domain $T^2\times(0,1)$. The convergence when $\lambda$ goes to zero to solutions to the compressible capillary Navier–Stokes equations, in the torus $T^3$, turns out to be global in time in energy norm.

Dates et versions

hal-00385803 , version 1 (20-05-2009)

Identifiants

Citer

Didier Bresch, Benoît Desjardins, Bernard Ducomet. Quasi-neutral limit for a viscous capillary model of plasma. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2005, 22 (1), pp.1-9. ⟨10.1016/j.anihpc.2004.02.001⟩. ⟨hal-00385803⟩
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