Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations

Abstract
In this note, we rigorously justify a singular approximation of the incompressible Navier-Stokes equations. Our approximation combines two classical approximations of the incompressible Euler equations: a standard relaxation approximation, but with a diffusive scaling, and the Euler-Poisson equations in the quasineutral regime.
Anno
2006
Autori IAC
Tipo pubblicazione
Altri Autori
Natalini R., Rousset F.
Editore
American Mathematical Society.
Rivista
Proceedings of the American Mathematical Society