In this paper, we study the blow-up of the solution of a degenerate nonlocal nonlinear system describing the distribution of temperature and potential in thermistors. We give conditions on electrical and thermal conductivities under which blow-up will occur.
Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory
β Scribed by C.V Pao
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 463 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-247X
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## Communicated by Marek Fila We consider the blow-up of solutions for a semilinear reaction-diffusion equation with exponential reaction term. It is known that certain solutions that can be continued beyond the blow-up time possess a non-constant self-similar blowup profile. Our aim is to find th
We prove the exact multiplicity of positive boundary blow-up solutions to a semilinear elliptic equation with bistable nonlinearity for the one-dimensional case. We use time-mapping techniques to determine the exact shape of the bifurcation diagram.
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