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Zbl 1225.35121
Chan, C.Y.
A quenching criterion for a multi-dimensional parabolic problem due to a concentrated nonlinear source. (English)
[J] J. Comput. Appl. Math. 235, No. 13, 3724-3727 (2011). ISSN 0377-0427

Summary: A multi-dimensional parabolic first initial-boundary value problem with a concentrated nonlinear source is studied. A criterion for its solution to quench, in a finite time $t_q$, everywhere on the concentrated nonlinear source only is given. An upper bound for $t_q$ is also deduced. For illustration, an example is given.
MSC 2000:
*35K58
35K20 Second order parabolic equations, boundary value problems
35B35 Stability of solutions of PDE

Keywords: quenching time

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