The Green's function of the Navier-Stokes equations for gas dynamics in R3

被引：45
|
作者：
Li, DL [1 ]
机构：
[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 257卷 / 03期
关键词：
Entropy; Neural Network; Nonlinear Dynamics; Acoustic Wave; Large Time;
D O I：
10.1007/s00220-005-1351-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we derive pointwise estimates for the Green's function of the Navier-Stokes equations for the compressible fluid. Our analysis shows that the short time behavior of the Green's function is dominated by the high frequency waves but the large time behavior is dictated by low frequency waves. Furthermore, the low frequency waves consist of entropy and acoustic waves that demonstrate a weaker form of Huygens' Principle.
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页码：579 / 619
页数：41
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