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The convergence of the Navier-Stokes-Poisson system to the incompressible Euler equations. (English) Zbl 1137.35416

The paper deals with the study of the combined quasineutral and inviscid limit (\(\lambda\to 0\) and \(\mu,\nu\to 0\)) of the compressible Navier-Stokes-Poisson system. This system is a simplified isentropic two-fluid model involving dissipation and describing the dynamics of a plasma, where the compressible electron fluid interacts with its own electric field against a constant charged ion background. The convergence of the Navier-Stokes-Poisson system to the incompressible Euler equations is proved for the global weak solution and for the case of general initial data.

MSC:

35Q31 Euler equations
35Q05 Euler-Poisson-Darboux equations
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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