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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Table of Content
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.
Language English ● Format PDF ● Pages 112 ● ISBN 9783642336966 ● File size 1.0 MB ● Publisher Springer Berlin ● City Heidelberg ● Country DE ● Published 2014 ● Downloadable 24 months ● Currency EUR ● ID 2612650 ● Copy protection Social DRM
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