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

  • Book
  • © 2013

Overview

Authors:
  1. Kelei Wang

    1. Wuhan Inst. of Physics and Mathematics, Wuhan, China, People's Republic

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  • Devoted to the study of the asymptotic behavior of singularly perturbed differential equations and some related free boundary problems arising from these two problems
  • The results of this thesis have many applications in Physics and Biology
  • Nominated by the Graduate University of Chinese Academy of Sciences as an outstanding PhD thesis
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Introduction

    • Kelei Wang
    Pages 1-15

  3. Uniqueness, Stability and Uniform Lipschitz Estimates

    • Kelei Wang
    Pages 17-26

  4. Uniqueness in the Singular Limit

    • Kelei Wang
    Pages 27-44

  5. The Dynamics of One Dimensional Singular Limiting Problem

    • Kelei Wang
    Pages 45-60

  6. Approximate Clean Up Lemma

    • Kelei Wang
    Pages 61-80

  7. Asymptotics in Strong Competition

    • Kelei Wang
    Pages 81-93

  8. The Limit Equation of a Singularly Perturbed System

    • Kelei Wang
    Pages 95-105

  9. Back Matter

    Pages 107-109
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Keywords

About this book

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.

Authors and Affiliations

  • Wuhan Inst. of Physics and Mathematics, Wuhan, China, People's Republic

    Kelei Wang

Bibliographic Information

  • Book Title: Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations

  • Authors: Kelei Wang

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-642-33696-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-33695-9Published: 30 November 2012

  • Softcover ISBN: 978-3-642-44248-3Published: 14 December 2014

  • eBook ISBN: 978-3-642-33696-6Published: 08 July 2014

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XII, 112

  • Topics: Partial Differential Equations, Functional Analysis

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