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Chlebik, Miroslav, Fila, Marek and Quittner, Pavol (2003) Blow-up of positive solutions of a semilinear parabolic equation with a gradient term. Dynamics of Continuous Discrete and Impulsive Systems, 10 (4). pp. 525-537. ISSN 1201-3390
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Official URL: http://www.ams.org/mathscinet-getitem?mr=1978587
Abstract
We study the blow-up behavior (in time and space) of positive solutions of a semilinear parabolic equation with a gradient term. Our main result is a sharp estimate for the spatial blow-up profile of radially decreasing solutions on a ball. This result illustrates the influence of the gradient term on the profile.
Item Type: | Article |
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Additional Information: | Abstract: http://online.watsci.org/abstract_pdf/2003v10/v10n4a/pdffile/3.pdf |
Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Depositing User: | Miroslav Chlebik |
Date Deposited: | 06 Feb 2012 19:40 |
Last Modified: | 21 Jun 2012 08:27 |
URI: | http://sro.sussex.ac.uk/id/eprint/21701 |