初-边值问题驻波解的渐近稳定性  

Asymptotic Stability of the Stationary Solution to Initial-Boundary Value Problem of Viscous Conservation Laws

作　　者：豆艳萍[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《数学学报（中文版）》2005年第4期669-680,共12页Acta Mathematica Sinica：Chinese Series

摘　　要：本文考虑一带有人工粘性的二维定常等熵无旋平面流方程组的初-边值问题. 在一定的假设下,我们证明其驻波解是渐近稳定的.In this paper, we investigate the existence and asymptotic stability of the stationary solution to the initial-boundary value problem of a 2-dimensional steady isentropic irrotational viscous flow. It is proved that the stationary wave is asymptotically stable under some assumptions.

关 键 词：渐近稳定性 粘性守恒律 驻波 

分 类 号：O175.27[理学—数学]