Acta mathematica scientia, Series B >
CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL FORCE
Received date: 2006-12-30
Revised date: 2007-07-05
Online published: 2009-09-20
Supported by
Sponsored by National Natural Science Foundation of China (10431060, 10329101)
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 L6/5.
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 . DOI: 10.1016/S0252-9602(09)60108-9
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