Quasi-neutral limit for a viscous capillary model of plasma

摘要

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 x (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. (C) 2004 Elsevier SAS. All rights reserved..