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具耦合边界源的非线性扩散方程组解的爆破速率估计

Estimates of Blow-up Rates for the Solution to a Nonlinear Diffusion Equations Coupled by Boundary Sources
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摘要 考虑一类具有非线性边界源的耦合退化抛物方程组,利用积分的方法得到了有限时刻发生爆破解的爆破速率估计.结果表明,对于快、慢扩散不同情形下耦合非线性扩散方程组爆破解的爆破速率估计一致. We considered a class of nonlinear diffusion equations coupled by boundary sources, obtained the blow-up rates via integral method and some discussions in two cases. Compared with the known results, our results show that the blow-up rates of the blow-up solutions for the fastly and slowly diffusive systems are the same.
作者 韩晓艳 王泽佳 杨云
机构地区 吉林大学数学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2010年第6期961-963,共3页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:J0630104 10701038) 吉林大学基本科研业务费资助项目
关键词 非线性扩散方程组 边界源 爆破速率 nonlinear diffusion equations boundary source blow-up rate
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Pao C V.Nonlinear Parabolic and Elliptic Equations[M].New York:Plenum Press,1992.
  • 2王泽佳,楼文奇,孙仁龙.一类耦合退化抛物方程组解的整体存在与爆破[J].吉林大学学报（理学版）,2008,46(6):1107-1109. 被引量：1
  • 3Ferreira R,Pablo A,De,Quirós F,et al.The Blow-up Profile for a Fast Diffusion Equation with a Nonlinear Boundary Condition[J].Rocky Mountain J Math,2003,33(1):123-146.
  • 4WANG Ze-jia,ZHOU Qian,LOU Wen-qi.Critical Exponents for Porous Medium Systems Coupled via Nonlinear Boundary Flux[J].Nonlinear Anal:Theory,Methods & Applications,2009,71(5/6):2134-2140.
  • 5Quirós F,Rossi J D.Blow-up Sets and Fujita Type Curves for a Degenerate Parabolic System with Nonlinear Boundary Conditions[J].Indiana Univ Math J,2001,50:629-654.
  • 6ZHENG Si-ning,SONG Xian-fu,JIANG Zhao-xin.Critical Fujita Exponents for Degenerate Parabolic Equations Coupled via Nonlinear Boundary Flux[J].J Math Anal Appl,2004,298(1):308-324.
  • 7WANG Shu,XIE Chun-hong,WANG Min-xin.The Blow-up Rate for a System of Heat Equations Completely Coupled in the Boundary Conditions[J].Nonlinear Anal,1999,35(3):389-398.
  • 8ZHENG Si-ning.Global Existence and Global Non-existence of Solutions to a Reaction-Diffusion System[J].Nonlinear Anal:Theory,Methods & Applications,2000,39(3):327-340.

二级参考文献6

  • 1Pao C V. Nonlinear Parabolic and Elliptic Equations [ M ]. New York: Plenum Press, 1992.
  • 2WU Zhuo-qun, YIN Jing-xue, LI Hui-lai, et al. Nonlinear Diffusion Equations [ M ]. New York: World Scientific Publishing Co, 2001.
  • 3Kalashnikov A S. Some Problems of the Qualitative Theory of Nonlinear Degenerate Parabolic Equations of Second Order [J]. Russian Math Surveys, 1987, 42: 169-222.
  • 4Galaktionov V A, Levine H A. On Critical Fujita Exponents for Heat Equations with Nonlinear Flux Conditions on the Boundary [J]. Israel J Math, 1996, 94(1): 125-146.
  • 5Ferreira R, De Pablo A, Quiros F, et al. The Blow-up Profile for a Fast Diffusion Equation with a Nonlinear Boundary Condition [ J ]. Rocky Mountain J Math, 2003, 33 ( 1 ) : 123-146.
  • 6Quiros F, Rossi J D. Blow-up Sets and Fujita Type Curves for a Degenerate Parabolic System with Nonlinear Boundary Conditions [J]. Indiana Univ Math J, 2001, 50: 629-654.
吉林大学学报（理学版）
2010年 第6期

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