Acta mathematica scientia, Series B >
QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM
Received date: 2009-10-23
Online published: 2011-07-20
Supported by
This work was supported by the Science Fund for Young Scholars of Nanjing University of Aeronautics and Astronautics.
This paper is concerned with the quasi-neutral limit of the bipolar Navier-Stokes-Poisson system. It is rigorously proved, by introducing the new modulated energy functional and using the refined energy analysis, that the strong solutions of the bipolar Navier-Stokes-Poisson system converge to the strong solution of the compressible Navier-Stokes equations as the Debye length goes to zero. Moreover, if we let the viscous coeffi-cients and the Debye length go to zero simultaneously, then we obtain the convergence of the strong solutions of bipolar Navier-Stokes-Poisson system to the strong solution of the compressible Euler equations.
YANG Xiu-Hui . QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1272 -1280 . DOI: 10.1016/S0252-9602(11)60314-7
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