The Setting of Boundary Conditions for Boundary Value Problems of Hyperbolic-elliptic Coupled Systems

作     者：Shu-xing Chen Ze-jun Wang Yong-qian Zhang 

作者机构：School of Mathematical Sciences Fudan University Shanghai 200433 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2008年第24卷第3期

页      面：375-390页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China(No.10531020) the National Basic Research Program of China 2006CB805902 the Doctorial Foundation of National Educational Ministry 20050246001 the 111 Project 

主　　题：Boundary value problems hyperbolic-elliptic coupled systems pseudo-differential operators 

摘      要：This paper is devoted to the study of the proper setting of the boundary conditions for the boundary value problems of the hyperbolic-elliptic coupled systems of first order. The wellposedness of the corresponding boundary value problems is also established. The Lopatinski conditions for the boundary value problems of the elliptic systems is then extended to the case for hyperbolic-elliptic coupled systems. The result in this paper can be applied to the Euler system in fluid dynamics, especially to give wellposed boundary value problems describing subsonic flow.