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The profile near quenching time for the solution of a singular semilinear heat equation*

Published online by Cambridge University Press:  20 January 2009

Jong-Shenq Guo  and
Bei Hu
Jong-Shenq Guo
Affiliation:
Department of Mathematics, National Taiwan Normal University, 88, Sec. 4, Ting Chou Road, Taipei 117, Taiwan, Republic of China
Bei Hu
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, In 46556, U.S.A.
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Abstract

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We study the profile near quenching time for the solutions of the first and second initial boundary value problems (IBVP) for a semilinear heat equation. Under certain conditions, one-point quenching occurs for both first and second IBVPs. Furthermore, we derive the asymptotic self-similar quenching rate for both problems.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 3 , October 1997 , pp. 437 - 456
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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