Formal solution of ill-posedness initial-boundary value problem for Euler equations of compressible adiabatic inviscid fluid flow  

作　　者：王曰朋 沈春 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

出　　处：《Journal of Shanghai University(English Edition)》2008年第1期35-38,共4页上海大学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Major Program of the Tenth Five-Year Plan） （Grant No,90411006）

摘　　要：It is proved that the ill-posed initial value problem of the Euler equations for compressible adiabatic inviscid fluid flow can be only formally solved. The necessary and sufficient conditions for existence of formal solution of some representative ill-posedness initial-boundary value problem are presented. Finally, an example is also given.It is proved that the ill-posed initial value problem of the Euler equations for compressible adiabatic inviscid fluid flow can be only formally solved. The necessary and sufficient conditions for existence of formal solution of some representative ill-posedness initial-boundary value problem are presented. Finally, an example is also given.

关 键 词：Euler equations stratification theory formal solution 

分 类 号：O411.1[理学—理论物理]