ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK

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	ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK
	Yi, Wang
	2008-10-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	28 期号:4 页码:727-748
摘要	The zero dissipation limit of the compressible heat-conducting Navier-Stokes equations in the presence of the shock is investigated. It is shown that when the heat conduction coefficient kappa and the viscosity coefficient epsilon satisfy kappa = O(epsilon), kappa/epsilon >= c > 0, as epsilon -> 0 (see (1.3)), if the solution of the corresponding Euler equations is piecewise smooth with shock wave satisfying the Lax entropy condition, then there exists a smooth solution to the Navier-Stokes equations, which converges to the piecewise smooth shock solution of the Euler equations away from the shock discontinuity at a rate of E. The proof is given by a combination of the energy estimates and the matched asymptotic analysis introduced in [3].
关键词	Zero dissipation limit Navier-Stokes equations shock waves
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000260725000002
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6926
专题	应用数学研究所
通讯作者	Yi, Wang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yi, Wang. ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK[J]. ACTA MATHEMATICA SCIENTIA,2008,28(4):727-748.
APA	Yi, Wang.(2008).ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK.ACTA MATHEMATICA SCIENTIA,28(4),727-748.
MLA	Yi, Wang."ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK".ACTA MATHEMATICA SCIENTIA 28.4(2008):727-748.