Welcome to Central Library, SUST
Amazon cover image
Image from Amazon.com
Image from Google Jackets

Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations [electronic resource] / by Kelei Wang.

By: Contributor(s): Material type: TextTextSeries: Springer Theses, Recognizing Outstanding Ph.D. ResearchPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Description: XII, 112 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783642336966
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 515.353 23
LOC classification:
  • QA370-380
Online resources:
Contents:
Foreword -- Acknowledgements -- Introduction -- Uniqueness, Stability and Uniform Lipschitz Estimates -- Uniqueness in the Singular Limit -- The Dynamics of One Dimensional Singular Limiting Problem.- Approximate Clean Up Lemma.- Asymptotics in Strong Competition -- The Limited Equation of a Singular Perturbed System -- Reference -- Index.
In: Springer eBooksSummary: In Bose-Einstein condensates from physics and competing species system from population dynamics, it is observed that different condensates (or species) tend to be separated. This is known as the phase separation phenomena. These pose a new class of free boundary problems of nonlinear partial differential equations. Besides its great difficulty in mathematics, the study of this problem will help us get a better understanding of the phase separation phenomena. 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 Bose-Einstein condensation theory and competing species model. We study the free boundary problems in the singular 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.   It was nominated by the Graduate University of Chinese Academy of Sciences as an outstanding PhD thesis.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
No physical items for this record

Foreword -- Acknowledgements -- Introduction -- Uniqueness, Stability and Uniform Lipschitz Estimates -- Uniqueness in the Singular Limit -- The Dynamics of One Dimensional Singular Limiting Problem.- Approximate Clean Up Lemma.- Asymptotics in Strong Competition -- The Limited Equation of a Singular Perturbed System -- Reference -- Index.

In Bose-Einstein condensates from physics and competing species system from population dynamics, it is observed that different condensates (or species) tend to be separated. This is known as the phase separation phenomena. These pose a new class of free boundary problems of nonlinear partial differential equations. Besides its great difficulty in mathematics, the study of this problem will help us get a better understanding of the phase separation phenomena. 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 Bose-Einstein condensation theory and competing species model. We study the free boundary problems in the singular 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.   It was nominated by the Graduate University of Chinese Academy of Sciences as an outstanding PhD thesis.

There are no comments on this title.

to post a comment.