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Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2006

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

Résumé

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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Dates et versions

hal-00458157 , version 1 (19-02-2010)

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  • HAL Id : hal-00458157 , version 1

Citer

Roberto Natalini, Frédéric Rousset. Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations. Proceedings of the American Mathematical Society, 2006, 134 (8), pp.2251-2258. ⟨hal-00458157⟩
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