The pointwise estimates of solutions to the isentropic Navier-Stokes equations in even space-dimensions

被引：27

作者：

Wang, W ^{[1
]}

Yang, XF ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2005年 / 2卷 / 03期

关键词：

isentropic Navier-Stokes equations; Green function; weak Huygen's principle;

D O I：

10.1142/S0219891605000580

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the dissipation of solutions for the isentropic Navier-Stokes equations in even space-dimensions. Based on the global existence of solutions and on the analysis of the Green function associated with the linearized system, the pointwise estimates of solution for the isentropic Navier-Stokes equations are established. It is observed here that in even dimensions the time-asymptotic behavior of the solutions follows from the weak Huygen's principle.

引用

页码：673 / 695

页数：23

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