A numerical study of the derivatives of solutions of the wave equation with a singular forcing term at quenching
β Scribed by John Axtell
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 713 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0749-159X
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## 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
In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth i