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 language | English (US) |
|---|---|
| Pages (from-to) | 1-16 |
| Number of pages | 16 |
| Journal | Zeitschrift fur Angewandte Mathematik und Physik |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2000 |
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics