Existence, Uniqueness and Blow-up of Generalized Solutions to General Nonlinear Filtration Equations

Existence, Uniqueness and Blow-up of Generalized Solutions to General Nonlinear Filtration Equations

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摘要 In this paper, we consider nonnegative solutions to Cauchy problem for the general nonlinear filtration equations ut -Dj （α^ij （x, t, u）Diψ（u））＋b^i （t, u）Diu＋C（x, t, u） = 0, and obtain the existence, uniqueness and blow-up in finite time of these solutions under some structure conditions.

作者 HUO Zhen-hong LI Hai-feng

机构地区 Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期301-308,共8页 数学季刊（英文版）

基金 Foundation item： Supported by National Science Foundation of China（10572156） Supported by Natural Science Foundation of Henan Province（0211010900） Supported by National Science Foundation of Department of Education of Henan Province（200510465001）

关键词 nonlinear filtration equation Cauchy problem generalized solution EXISTENCE UNIQUENESS BLOW-UP 一般非线性渗流方程广义解唯一性 Blow—up

分类号 O175.27 [理学—基础数学] O175.29 [理学—基础数学]

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Chinese Quarterly Journal of Mathematics

2008年第2期

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Existence, Uniqueness and Blow-up of Generalized Solutions to General Nonlinear Filtration Equations

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