CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL FORCE

doi:10.1016/S0252-9602(09)60108-9

Abstract

Abstract:

For the viscous and heat-conductive fluids governed by the compressible Navier-Stokes equations with external force of general form in R³, there exist nontrivial stationary solutions provided the external forces are small in suitable norms, which was studied in article [15], and there we also proved the global in time stability of the stationary solutions with respect to initial data in H³-framework. In this article, the authors investigate the rates of
convergence of nonstationary solutions to the corresponding stationary solutions when the initial data are small in H³ and bounded in L_6/5.

Key words: compressible Navier Stokes equation, nonstationary solution, convergence rate, general external force

CLC Number:

35Q30

QIAN Jian-Zhen, YIN Hui. CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL FORCE[J].Acta mathematica scientia,Series B, 2009, 29(5): 1351-1365.

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CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL FORCE

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