The influence of two moving heat sources on blow-up in a reactive-diffusive medium

C. M. Kirk, W Edward Olmstead

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Two concentrated heat sources move through a one-dimensional reactive-diffusive medium. The sources, moving at constant speed in the same direction, are separated by a fixed distance. The leading source serves to preheat the medium ahead of the trailing source. Sufficient conditions, involving the speed and the separation distance, are found for blow-up at the site of the trailing source. Also, the asymptotic behavior of the solution near blow-up is examined. Keywords. Moving heat sources, blow-up, integral equations.

Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume51
Issue number1
DOIs
StatePublished - Jan 1 2000

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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