ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS

doi:10.1016/S0252-9602(15)30030-8

Abstract

Abstract:

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||·||_H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than||·||_H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system.

Key words: bipolar compressible Navier-Stokes-Maxwell system, plasmas, global smooth solutions, energy estimates, large-time behavior

CLC Number:

35L45

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.

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