Acta mathematica scientia, Series B >
ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS
Received date: 2014-10-30
Revised date: 2015-02-14
Online published: 2015-09-01
Supported by
The authors are supported by the Collaborative Innovation Center on Beijing Society-building and Social Governance, NSFC (11371042), BNSF (1132006), the key fund of the Beijing education committee of China and China Postdoctoral Science Foundation funded project.
This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm||·||Hs-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than||·||Hs-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system.
Yuehong Feng , Shu Wang , Xin Li . ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS[J]. Acta mathematica scientia, Series B, 2015 , 35(5) : 955 -969 . DOI: 10.1016/S0252-9602(15)30030-8
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