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 des matières
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.
Langue Anglais ● Format PDF ● Pages 112 ● ISBN 9783642336966 ● Taille du fichier 1.0 MB ● Maison d’édition Springer Berlin ● Lieu Heidelberg ● Pays DE ● Publié 2014 ● Téléchargeable 24 mois ● Devise EUR ● ID 2612650 ● Protection contre la copie DRM sociale
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