带有非线性边界流的多孔介质方程组整体存在和爆破(英文) 被引量：1

Global Existence and Blow-up for a Porous Medium System Coupled with Nonlinear Boundary Flux

下载PDF

导出

摘要论文针对带有非线性边界流的多孔介质方程组,通过构造自相似上、下解,得到临界整体存在曲线。 The paper deals with the porous medium system with nonlinear boundary flux.The critical global existence curve is obtained by constructing self-similar supersolutions and subsolutions.

作者宋小军

机构地区西华师范大学数学与信息学院

出处《东莞理工学院学报》 2010年第5期9-13,共5页 Journal of Dongguan University of Technology

关键词临界整体存在曲线多孔介质方程组非线性边界流爆破 Critical global existence curve porous medium system nonlinear boundary flux blow-up

分类号 O175.26 [理学—基础数学]

引文网络
相关文献

参考文献1

1王泽佳,尹景学.Fujita Exponent for Porous Medium Equation with Convection and Nonlinear Boundary Condition[J].Northeastern Mathematical Journal,2003,19(4):387-395. 被引量：3

二级参考文献8

1[1]Fujita,H.,On the blowing up of solutions of the Cauchy problem for ut = △u + u1+α,J.Fac.Sci.Univ.Tokyo Sect.IA Math.,13(1966),109-124.
2[2]Levine,H.A.,The role of critical exponents in blow-up therems.SIAM Review,32(1990),262-288.
3[3]Deng,K.and Levine,H.A.,The role of critical exponents in blow-up theorems: the sequel,J.Math.Anal.Appl.,243(1)(2000),85-126.
4[4]Hu,B.and Yin,H.M.,On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition,J.Math.Anal.Appl.,209(1997),683-711.
5[5]Galaktionov,V.A.and Levine,H.A.,On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary,Israel J.Math.,94(1996),125-146.
6[6]Huang,W.M.,Yin,J.X.and Wang,Y.F.,On critical fujita exponents for a degenerate parabolic equation with nonlinear boundary condition,J.Math.Anal.Appl.,286(2003),369-377.
7[7]Aguirre,J.and Escobedo,M.,On the blow-up of solutions of a convective reaction diffusion equation,Proc.Roy Soc.Edinburgh Sect.A.,123(3)(1993),433-460.
8[8]Galaktionov,V.A.,Kurdyumov,S.P.,Mikhailov,A.P.and Samarskii,A.A.,On unbounded solutions of the Cauchy problem for the parabolic equation ut = △(uσ△) +uβ,Dokl.Akad.Nauk SSSR.,252(6)(1980),1362-1364.