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

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.