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Quasi-Neutral Limit for a Model of Viscous Plasma

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Abstract

We perform a rigorous analysis of the quasi-neutral limit for a model of viscous plasma represented by the Navier–Stokes–Poisson system of equations. It is shown that the limit problem is the Navier–Stokes system describing a barotropic fluid flow, with the pressure augmented by a component related to the nonlinearity in the original Poisson equation.

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Authors and Affiliations

  1. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Eduard Feireisl

  2. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100190, China

    Ping Zhang

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  1. Eduard Feireisl
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  2. Ping Zhang
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Correspondence to Eduard Feireisl.

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Feireisl, E., Zhang, P. Quasi-Neutral Limit for a Model of Viscous Plasma. Arch Rational Mech Anal 197, 271–295 (2010). https://doi.org/10.1007/s00205-010-0317-7

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  • DOI: https://doi.org/10.1007/s00205-010-0317-7

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