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f VANISHING VISCOSITY LIMIT WITH BOTH STRONG COMPRESSIBLE BOUNDARY LAYERS
Li Ying 1,Sun Junling 2,Wang Jing 1
1.Department of Mathematics Shang Hai Normal University, Shang Hai 200234
2.School of mathematics and information science He nan Polytechnic University, Jiao zuo 454150
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Funding: none
Opened online:29 December 2014
Accepted by: none
Citation: Li Ying,Sun Junling,Wang Jing.f VANISHING VISCOSITY LIMIT WITH BOTH STRONG COMPRESSIBLE BOUNDARY LAYERS[OL]. [29 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4623518
 
 
In this paper, we study the limiting behavior of viscous equation as $ arepsilon$ goes to zero. Here, we consider only non-characteristic boundary case. We first construct formally the three-term approximate solutions by using the method of matched asymptotic expansions. Next, it is proved that the strong boundary layers are nonlinearly stable for viscous conservation laws with genuinely-nonlinear flux. The analysis for the results depends crucially on the structure of the underling boundary layers. The proofs are based on basic energy estimates.
Keywords:partial differential equation; viscous boundary layer; matched asymptotic analysis; nonlinear stability.
 
 
 

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