应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2010年
4期
870-875
,共6页
整体光滑解%双色谱%对角化方法%特征法
整體光滑解%雙色譜%對角化方法%特徵法
정체광활해%쌍색보%대각화방법%특정법
Global smooth solution%Two component chromatography%Diagonalization method%Characteristic method
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{u1+(u/1+u+v)x=0,v1+(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.
本文討論瞭齣現在雙色譜中的非線性雙麯型守恆律組的如下Cauchy問題{u1+(u/1+u+v)x=0,v1+(v/1+u+v)x=0,初值為u(x,0)=u0(x),v(x,0)=v0(x)的整體光滑解的存在性和唯一性.分析過程基于對角化方法和特徵線法.
본문토론료출현재쌍색보중적비선성쌍곡형수항률조적여하Cauchy문제{u1+(u/1+u+v)x=0,v1+(v/1+u+v)x=0,초치위u(x,0)=u0(x),v(x,0)=v0(x)적정체광활해적존재성화유일성.분석과정기우대각화방법화특정선법.
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 chromatography with initial data{ u1+(u/1+u+v)x=0,v1+(v/1+u+v)x=0,with initial data u(x,0)= u0(x),v(x,0)=v0(x).The analysis is based on the diagonalization method and the characteristic method.
