Quenching on the boundary
β Scribed by Marek Fila; Howard A. Levine
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 435 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
The quenching problem is examined for a one-dimensional heat equation with a non-linear boundary condition that is of either local or non-local type. Su$cient conditions are derived that establish both quenching and non-quenching behaviour. The growth rate of the solution near quenching is also give
We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary.
This paper is concerned with the finite time quenching phenomenon for one-dimensional p-Laplacian with singular boundary flux. We also discuss the corresponding quenching rate.
## Abstract We study numerical approximations of solutions of the following system of heat equations, coupled at the boundary through a nonlinear flux: where __p__ and __q__ are parameters. We prove that the solutions of a semidiscretization in space quench in finite time. Moreover, we describe i