Generalized Tricomi Problem for a Quasilinear Mixed Type Equation  

作　　者：Shuxing CHEN 

机构地区：[1]School of Mathematical Sciences, Fudan University, Shanghai 200433, China

出　　处：《Chinese Annals of Mathematics,Series B》2009年第5期527-538,共12页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10531020);the National Basic Research Program of China (No.2006CB805902);the Doctorial Program Foundation of the Ministry of Education of China;the Science and Technology Commission of Shanghai Municipality

摘　　要：In this paper,the Tricomi problem and the generalized Tricomi problem for a quasilinear mixed type equation are studied.The coefficients of the mixed type equation are discontinuous on the line,where the equation changes its type.The existence of solution to these problems is proved.The method developed in this paper can be used to study more difficult problems for nonlinear mixed type equations arising in gas dynamics.

关 键 词：Mixed type equation Tricomi problem Mach configuration 

分 类 号：O175.28[理学—数学] O175.25[理学—基础数学]