This thesis is devoted to the study of the asymptotic behavior of singularly perturbed partial differential equations and some related free boundary problems arising from these two problems. We study the free boundary problems in the singulary limit and give some characterizations, and use this to study the dynamical behavior of competing species when the competition is strong. These results have many applications in physics and biology.
| ISBN: | 9783642336959 |
| Publication date: | 30th November 2012 |
| Author: | Kelei Wang |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Hardback |
| Pagination: | 120 pages |
| Series: | Springer Theses |
| Genres: |
Differential calculus and equations Functional analysis and transforms |