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

Natalini, R.; Rousset, F.

doi:10.1090/S0002-9939-06-08587-X

Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations
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by R. Natalini and F. Rousset PDF

Proc. Amer. Math. Soc. 134 (2006), 2251-2258 Request permission

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.

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