Open AccessOn a Quasi-Neutral Approximation of the Incompressible Navier-Stokes Equations
Author(s) -
Zhiqiang Wei,
Jianwei Yang
Publication year - 2012
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.5402/2012/581710
Subject(s) - compressibility , torus , euler equations , navier–stokes equations , limit (mathematics) , euler's formula , physics , energy method , mathematics , mathematical analysis , classical mechanics , mechanics , geometry
This paper considers a pressureless Euler-Poisson system with viscosity in plasma physics in the torus . We give a rigorous justification of its asymptotic limit toward the incompressible Navier Stokes equations via quasi-neutral regime using the modulated energy method.
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