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一类具有耦合非线性边界流的多孔介质方程组解的整体存在性与爆破(英文) 被引量：3

Global Existence and Blow-up for a Porous Medium Systemwith Coupled Nonlinear Boundary Flux
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摘要 研究一类具有非线性边界项的多孔介质方程组的半无界问题解的整体存在性和爆破问题.通过构造自相似上下解和利用比较原理得到它的整体存在曲线和临界Fujita曲线,讨论了低阶项系数对解的临界Fujita曲线的影响. The global existence and blow-up of solution to a porous medium system with nonlinear boundary flux are investigated.By constructing self-similar supersolutions and subsolutions and using comparison principle,we obtain the global existence curve and the critical Fujita curve for the problem.It is shown that the coefficient of the lower order term is an important factor that determines the critical Fujita curve.
作者 米永生 穆春来
机构地区 重庆大学数学与统计学院 长江师范学院数学与计算机学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第4期458-465,共8页 Journal of Sichuan Normal University（Natural Science）
基金 supported by the Fundamental Research Funds for the Central Universities(CDJXS11100024)~~
关键词 多孔介质方程组 临界Fujita曲线 非线性边界流 爆破 porous medium system critical Fujita curve nonlinear boundary flux blow-up
分类号 O175.26 [理学—基础数学]
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四川师范大学学报（自然科学版）
2011年 第4期

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