Zero Dissipation Limit to Rarefaction Waves for the p-System  

作　　者：Hui Ying WANG 

机构地区：[1]Center of Mathematical Science, Zhejiang University, Hangzhou 310027 P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2005年第5期1229-1240,共12页数学学报（英文版）

摘　　要：We study the zero-dissipation problem for a one-dimensional model system for the isentropic flow of a compressible viscous gas, the so-called p-system with viscosity. When the solution of the inviscid problem is a rarefaction wave with finite strength, there exists unique solution to the viscous problem with the same initial data which converges to the given inviscid solution as c goes to zero. The proof consists of a scaling argument and elementary energy analysis, based on the underlying wave structure.We study the zero-dissipation problem for a one-dimensional model system for the isentropic flow of a compressible viscous gas, the so-called p-system with viscosity. When the solution of the inviscid problem is a rarefaction wave with finite strength, there exists unique solution to the viscous problem with the same initial data which converges to the given inviscid solution as c goes to zero. The proof consists of a scaling argument and elementary energy analysis, based on the underlying wave structure.

关 键 词：Zero dissipation problem P-SYSTEM Centered rarefaction wave 

分 类 号：O357[理学—流体力学]