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

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

Autor Kelei Wang
en Limba Engleză Hardback – 30 noi 2012
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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Specificații

ISBN-13: 9783642336959
ISBN-10: 3642336957
Pagini: 124
Ilustrații: XII, 112 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.3 kg
Ediția:2013
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Theses

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.​

Textul de pe ultima copertă

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.

Caracteristici

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