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 language||English (US)|
|Number of pages||16|
|Journal||Zeitschrift fur Angewandte Mathematik und Physik|
|State||Published - Jan 1 2000|
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Applied Mathematics