A quenching criterion for a multi-dimensional parabolic problem due to a concentrated nonlinear source

Authors:
C. Y. Chan
Affiliations:
-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 1
Cited 1

A thermal explosion model

Applied Mathematics and Computation

Solving degenerate quenching-combustion equations by an adaptive splitting method on evolving grids

Computers and Structures

Quantified Score

Hi-index	7.29

Visualization

Abstract

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.