The Pointwise Estimates of Diffusion Wave for the Navier–Stokes Systems in Odd Multi-Dimensions

被引：41
|
作者：
Tai-Ping Liu
Weike Wang
机构：
[1] Department of Mathematics,
[2] Stanford University,undefined
[3] Stanford,undefined
[4] CA94305,undefined
[5] USA,undefined
[6] Department of Mathematics,undefined
[7] Wuhan University,undefined
[8] Wuhan 430072,undefined
[9] China,undefined
来源：
Communications in Mathematical Physics | 1998年 / 196卷
关键词：
Detailed Analysis; Green Function; Nonlinear Diffusion; Stokes System; Pointwise Estimate;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the dissipation of solutions of the isentropic Navier–Stokes equations in odd multi-dimensions. Pointwise estimates of the time-asymptotic shape of the solutions are obtained and shown to exhibit the generalized Huygen's principle. Our approach is based on the detailed analysis of the Green function of the linearized system. This is used to study the coupling of nonlinear diffusion waves.
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页码：145 / 173
页数：28
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