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带线性退化阻尼项的可压缩欧拉方程组的整体正规解(英文)
THE GLOBAL EXISTENCE OF THE REGULAR SOLUTIONS OF THE COMPRESSIBLE EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING
【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.
【Abstract】 The Cauchy 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.
【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;
【Key words】 Compressible Euler equations; degenerate linear damping; regular solution; global existence;
【Key words】 Compressible Euler equations; degenerate linear damping; regular solution; global existence;
【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
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2009年04期
- 【分类号】O175.27
- 【被引频次】3
- 【下载频次】63