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

Authors
Kirk, CM Olmstead, WE
Citation
Cm. Kirk et We. Olmstead, The influence of two moving heat sources on blow-up in a reactive-diffusive medium, Z ANG MATH, 51(1), 2000, pp. 1-16
Citations number
13
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
51
Issue
1
Year of publication
2000
Pages
1 - 16
Database
ISI
SICI code
0044-2275(200001)51:1<1:TIOTMH>2.0.ZU;2-L
Abstract
Two concentrated heat sources move through a one-dimensional reactive-diffu sive medium. The sources, moving at constant speed in the same direction, a re separated by a fixed distance. The leading source serves to preheat the medium ahead of the trailing source. Sufficient conditions, involving the s peed 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. Mathematics Subject Classification (1991). 35K60, 45D05, 45M0 5.