The incompressible limit and the initial layer of the compressible Euler equation in R-+(n)

被引：0
|
作者：
Iguchi, T
机构：
[1] Department of Mathematics, School of Science and Engineering, Waseda University, Shinjuku-ku, Tokyo 169
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1997年 / 20卷 / 11期
关键词：
D O I：
10.1002/(SICI)1099-1476(19970725)20:11<945::AID-MMA894>3.0.CO;2-T
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the incompressible limit of the compressible Euler equation in the half-space R-4(n). It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial data nu(0)(infinity) do not satisfy the condition 'del.nu(0)(infinity) = 0', then the initial layer will appear. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.
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页码：945 / 958
页数：14
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