出现在双色谱中的非线性双曲型守恒律组整体光滑解的存在性(英文)  

Existence of Global Smooth Solution to System of Hyperbolic Conservation Laws in Two Component Chromatography

作　　者：阮立志[1] 张薇[1] 

机构地区：[1]华中师范大学数学与统计学学院,非线性分析实验室,湖北武汉430079

出　　处：《应用数学》2010年第4期870-875,共6页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of China ( The Youth Foundation)(10901068);CCNU Project (CCNU09A01004);the Hubei Key Laboratory of Mathematical Physics

摘　　要：本文讨论了出现在双色谱中的非线性双曲型守恒律组的如下Cauchy问题{ut+(u/1+u+v)x=0,vt+(v/1+u+v)x=0,初值为u(x,0)=u0(x),v(x,0)=v0(x)的整体光滑解的存在性和唯一性.分析过程基于对角化方法和特征线法.In this paper,we consider the existence of global smooth solutions to the Cauchy problem for the following nonlinear hyperbolic conservation laws arising in two component chromatographyut＋u1＋u＋vx=0,vt＋v1＋u＋vx=0,with initial datau（x,0）=u0（x）,v（x,0）=v0（x）.The analysis is based on the diagonalization method and the characteristic method.

关 键 词：整体光滑解 双色谱 对角化方法 特征法 

分 类 号：O175.27[理学—数学]