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

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

数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (5): 1351-1365.doi: 10.1016/S0252-9602(09)60108-9

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

钱建贞, 尹慧

LAMA and School of Mathematical Sciences, Peking University, Beijing 100871, China School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2006-12-30 修回日期:2007-07-05 出版日期:2009-09-20 发布日期:2009-09-20
基金资助:
Sponsored by National Natural Science Foundation of China (10431060, 10329101)

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

QIAN Jian-Zhen, YIN Hui

LAMA and School of Mathematical Sciences, Peking University, Beijing 100871, China School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2006-12-30 Revised:2007-07-05 Online:2009-09-20 Published:2009-09-20
Supported by:
Sponsored by National Natural Science Foundation of China (10431060, 10329101)

摘要/Abstract

摘要：

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.

关键词: compressible Navier Stokes equation, nonstationary solution, convergence rate, general external force

Abstract:

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

中图分类号:

35Q30

钱建贞, 尹慧. CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL FORCE[J]. 数学物理学报(英文版), 2009, 29(5): 1351-1365.

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

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

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