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

作　　者：朱旭生[1] 王广超[1] 

机构地区：[1]华东交通大学基础科学学院,江西南昌330013

出　　处：《数学杂志》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

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.

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 

分 类 号：O175.27[理学—数学] O175.24[理学—基础数学]