Blow-up Estimates of the Positive Solution of a Parabolic System

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2001 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 255, pages 551-563 (issn: 0022-247X,

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Authors: Pedersen, Michael; Lin, Zhigui;

doi: 10.1006/jmaa.2000.7261

Blow-up Estimates of the Positive Solution of a Parabolic System

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Abstract

The authors study blow-up of a system of two heat equations in a ball coupled by nonlinear boundary conditions. They show that radially symmetric time-increasing positive solutions blow up with the selfsimilar rate if the four exponents from the boundary conditions satisfy certain conditions.

Related Organizations

Technical University of Denmark
Denmark
Yangzhou University
China (People's Republic of)

Keywords

Asymptotic behavior of solutions to PDEs, nonlinear boundary conditions, Applied Mathematics, blow-up rate, Systems of parabolic equations, boundary value problems, radially symmetric time-increasing positive solutions, Analysis

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