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- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by Springer Science+Business Media B.V.
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-012-9774-3
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we consider a double fronts free boundary problem for a parabolic equation with a non-local source and absorption. The long time behaviors of the solutions are given and the properties of the free boundaries are discussed. Our results show that if the initial value is sufficiently large, then the solution blows up in finite time, while the global fast solution exists for sufficiently small initial data, and the intermediate case with suitably large initial data gives the existence of the global slow solution.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jul 24, 2012