Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Differential Equations
Cover of the book Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations by Kelei Wang, Springer Berlin Heidelberg
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Author: Kelei Wang ISBN: 9783642336966
Publisher: Springer Berlin Heidelberg Publication: July 8, 2014
Imprint: Springer Language: English
Author: Kelei Wang
ISBN: 9783642336966
Publisher: Springer Berlin Heidelberg
Publication: July 8, 2014
Imprint: Springer
Language: English

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.

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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.

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