Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation

C. M. Kirk, W. E. Olmstead

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In this paper we examine the heat equation in two dimensions with a nonlinear source term that is spatially localized and allowed to move. We obtain conditions on the motion of the heat source which guarantee that a blow-up occurs. Specifically, the case of periodic motion is examined.

Original languageEnglish (US)
Title of host publicationProceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications
EditorsG.S. Ladde, N.G. Medhin, M. Sambandham
Pages146-152
Number of pages7
StatePublished - Dec 1 2003
EventProceedings of the 4th International Conference on Dynamic Systems and Applications - Atlanta, GA, United States
Duration: May 21 2003May 24 2003

Other

OtherProceedings of the 4th International Conference on Dynamic Systems and Applications
CountryUnited States
CityAtlanta, GA
Period5/21/035/24/03

ASJC Scopus subject areas

  • Engineering(all)

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