This paper deals with interactions among three kinds of nonlinear mechanisms: nonlinear di usion, nonlinear reaction and nonlinear boundary ux in a parabolic model with multiple nonlinearities. The necessary and su cient blow-up conditions are established together with blow-up rate estimates for the
β¦ LIBER β¦
Diffusion models with blow-up
β Scribed by A.A. Lacey
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 710 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
A number of physical situations, including chemical reactions, electrical heating, and fluid flow, give rise to nonlinear diffusion problems. In this paper models are derived and results relating to the blow-up of the solutions are given. Some of the proofs are outlined and the physical significance of the results is noted. (~) 1998 Elsevier Science B.V. All rights reserved.
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