Zero dissipation limit of full compressible Navier-Stokes equations with a Riemann initial data

被引:18
|
作者
Huang, Feimin [1 ]
Jiang, Song [2 ]
Wang, Yi [1 ]
机构
[1] Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
关键词
D O I
10.4310/CIS.2013.v13.n2.a5
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider the zero dissipation limit of the full compressible Navier-Stokes equations with a Riemann initial data for the superposition of two rarefaction waves and a contact discontinuity. It is proved that for any suitably small viscosity epsilon and heat conductivity. satisfying the relation (1.3), there exists a unique global piecewise smooth solution to the compressible Navier-Stokes equations. Moreover, as the viscosity e tends to zero, the Navier-Stokes solution converges uniformly to the Riemann solution of superposition of two rarefaction waves and a contact discontinuity to the corresponding Euler equations with the same Riemann initial data away from the initial line t = 0 and the contact discontinuity located at x = 0.
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页码:211 / 246
页数:36
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