On quenching for some parabolic problems
β Scribed by Gao-Feng Zheng
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 792 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper we investigate two classes of overdetermined initial and boundary value problems of parabolic type. Under appropriate assumptions we conclude that the solutions u(x, t) of the considered problems must be radially symmetric, which implies radial symmetry of the boundary con"guration.
We consider the blow-up of solutions of equations of the form by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-up cannot occur.