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.