Non-simultaneous blow-up in a semilinear parabolic system
✍ Scribed by F. Quirós; J. D. Rossi
- Book ID
- 105740970
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 114 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0044-2275
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📜 SIMILAR VOLUMES
This paper deals with heat equations coupled via nonlinear boundary flux ∂u 1 ∂η = u p 11 1 + u p 12 2 , ∂u 2 ∂η = u p 22 2 + u p 23 3 , ∂u 3 ∂η = u p 33 3 + u p 31 1 . A necessary and sufficient condition for the existence of only one component blowing up for nondecreasing in time and radially sym
This work deals with a semilinear parabolic system which is coupled both in the equations and in the boundary conditions. The blow-up phenomena of its positive solutions are studied using the scaling method, the Green function and Schauder estimates. The upper and lower bounds of blow-up rates are t