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一类耦合抛物型方程组解的爆破

Blow-Up of Solutions for a Coupled Parabolic Equation System
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摘要 文章研究一类耦合抛物型方程组的初边值问题,给出了当初值和增长阶数满足一定条件时,解在有限时刻爆破的充分条件.研究结果是部分文献结果的推广. To studies the initial boundary value problem of a coupled parabolic equation system with nonlinear source. Since the explicit solution can not be solved,the discussion to the property of the solution is important. It is showed that under some conditions the solutions blow up in finite time by energy method.
作者 裴金仙
机构地区 山西大学商务学院理学系
出处 《太原师范学院学报（自然科学版）》 2012年第4期48-49,61,共3页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 耦合抛物型方程组 能量法 解的爆破 爆破的条件 coupled parabolic equation system energy method blow-up of solutions blasting eonditions
分类号 O175.29 [理学—基础数学]
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参考文献5

  • 1Wang M X. Global existence and finite time blow up for a reaction-diffusion system[J]. Z. Angew. Math. Phys. , 2000,51 160-167.
  • 2Wang M X. Blow-up rate estimates for semilinear parabolic system[J]. J. Differential Equation,2001,170:317-324.
  • 3Wang M X. Blow-up estimates for semilinear reaction-diffusion system[J]. J. Math. Anal. Appl. ,2001,257(1) :46-51.
  • 4Rossi J D,Souplet P. Coexistence of simultaneous and nonsimultaneous Blow-up in a Semilinear parabolic system[J]. Differen- tial Integral Equation,2005,18:405-418.
  • 5栗付才.拟线性退化抛物型方程组解的整体存在性和爆破[J].数学物理学报（A辑）,2008,28(6):1187-1193. 被引量：3

二级参考文献16

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共引文献2

太原师范学院学报（自然科学版）
2012年 第4期

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