Journal article
Global Existence and Blowup for a Parabolic Equation with a Non-Local Source and Absorption
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.
Language: | English |
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Publisher: | Springer Netherlands |
Year: | 2013 |
Pages: | 171-186 |
Journal subtitle: | An International Research Journal on Applying Mathematics and Mathematical Applications |
ISSN: | 15729036 and 01678019 |
Types: | Journal article |
DOI: | 10.1007/s10440-012-9774-3 |
ORCIDs: | Pedersen, Michael |