摘要
本文研究了理想气体的带线性退化阻尼项的可压缩欧拉方程组的真空初值问题.利用能量估计的方法,在适当的初始条件下,获得了初值问题的正无偏见解整体存在的结果.推广了可压缩等熵欧拉方程组的结果.
The Cauehy problem of Euler equations with degenerate linear damping for a perfect gas is studied in this paper, while the initial gas lies in a compact domain. Under some hypotheses on the initial data, the regular solution can be extended globally by the method of energy estimates. These generalize the results of the isentropic Euler equations.
出处
《数学杂志》
CSCD
北大核心
2009年第4期401-408,共8页
Journal of Mathematics
基金
Supportedin part by National Natural Science Foundation of China (No.10661007)
Natural Science Foundation of Jiangxi Province (No .2007GZS0811)
Research Foundation of East China Jiaotong University
关键词
可压缩欧拉方程组
线性退化阻尼
正规解
整体存在性
Compressible Euler equations
degenerate linear damping
regular solution
global existence
