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On the stability of contact discontinuity for Cauchy problem of compress Navier-Stokes equations with general initial data

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On the stability of contact discontinuity for Cauchy problem of compress Navier-Stokes equations with general initial data.htm (407bytes)
Date
2012-10
Author
Zheng TingTing
Zhao JunNing
赵俊宁
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  • 数学科学-已发表论文 [2662]
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Abstract
In this paper, we study the stability of solutions of the Cauchy problem for 1-D compressible Narvier-Stokes equations with general initial data. The asymptotic limit of solution is found, under some conditions. The results in this paper imply the case that the limit function of solution as t -> a is a viscous contact wave in the sense, which approximates the contact discontinuity on any finite-time interval as the heat conduction coefficients toward zero. As a by-product, the decay rates of the solution for the fast diffusion equations are also obtained. The proofs are based on the elementary energy method and the study of asymptotic behavior of the solution to the fast diffusion equation.
Citation
SCIENCE CHINA-MATHEMATICS,2012,55(10):2005-2026
URI
http://dx.doi.org/10.1007/s11425-012-4441-8
WOS:000309233100004
https://dspace.xmu.edu.cn/handle/2288/14549

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