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

  • C. M. Kirk
  • W. E. Olmstead
Article

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.

Key words. Moving heat sources, blow-up, integral equations. 

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Copyright information

© Birkhäuser Verlag, Basel, 2000

Authors and Affiliations

  • C. M. Kirk
    • 1
  • W. E. Olmstead
    • 1
  1. 1.Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA, (Fax: 847-491-2178)USA

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