Download or read book Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations written by Kelei Wang and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.