| 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) |
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| 引用本文： | 阮立志,张薇.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)[J].应用数学,2010,23(4). |
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| 作者姓名： | 阮立志 张薇 |
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| 作者单位： | 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 |
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| 基金项目： | the Natural Science Foundation of China(The Youth Foundation)，CCNU Project，the Hubei Key Laboratory of Mathematical Physics |
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| 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.
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| 关 键 词： | 整体光滑解 双色谱 对角化方法 特征法 |
Existence of Global Smooth Solution to System of Hyperbolic Conservation Laws in Two Component Chromatography |
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| RUAN Lizhi,ZHANG Wei.Existence of Global Smooth Solution to System of Hyperbolic Conservation Laws in Two Component Chromatography[J].Mathematica Applicata,2010,23(4). |
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| Authors: | RUAN Lizhi ZHANG Wei |
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| Abstract: | 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. |
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| Keywords: | Global smooth solution Two component chromatography Diagonalization method Characteristic method |
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