等熵Chaplygin气体的平面波解  

Plane Wave Solutions to the Euler Equations for Chaplygin Gases

作　　者：黄守军[1] 王蕊[1] 

机构地区：[1]安徽师范大学数学与计算机科学学院,安徽芜湖241000

出　　处：《数学物理学报（A辑）》2016年第4期681-689,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(11301006);安徽省自然科学基金(1408085MA01)资助~~

摘　　要：研究等熵Chaplygin气体的平面波解,给出平面波解的若干有趣性质,并特别指出平面波解所满足的微分方程组可以逐步求解,从而得到等熵Chaplygin气体光滑平面波解的整体存在性.此外,给出平面波解的若干爆破结果.In this paper, we consider the plane wave solutions to the Euler equations for isentropic Chaplygin gases. Some interesting properties enjoyed by plane wave solutions are explored. In particular, the reduced system for the plane wave solutions of Chaplygin gases can be solved successively. Based on this, we are able to obtain the global existence of smooth plane wave solutions for isentropic Chaplygin gases. Some results on the blow up phenomena are also discussed.

关 键 词：EULER方程组 Chaplygin气体 平面波解 整体存在 爆破 

分 类 号：O175.2[理学—数学]