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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (7): 865-874.doi: https://doi.org/10.1007/s10483-009-0706-y

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Blow-up rate and profile for a class of quasilinear parabolic system

陈玉娟 朱月萍   

  1. School of Sciences, Nantong University, Nantong 226007, Jiangsu Province, P. R. China
  • 收稿日期:2008-08-26 修回日期:2009-04-27 出版日期:2009-07-01 发布日期:2009-07-01

Blow-up rate and profile for a class of quasilinear parabolic system

 CHEN Yu-Juan, ZHU Yue-Ping   

  1. School of Sciences, Nantong University, Nantong 226007, Jiangsu Province, P. R. China
  • Received:2008-08-26 Revised:2009-04-27 Online:2009-07-01 Published:2009-07-01

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摘要： This paper deals with positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions. The blow-up rate and blow-up profile are gained if the parameters and the initial data satisfy some conditions.

关键词: degenerate parabolic system, nonlocal sources, blow-up rate, blow-up profile

Abstract: This paper deals with positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions. The blow-up rate and blow-up profile are gained if the parameters and the initial data satisfy some conditions.

Key words: degenerate parabolic system, nonlocal sources, blow-up rate, blow-up profile

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