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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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.
Limba Engleză ● Format PDF ● Pagini 112 ● ISBN 9783642336966 ● Mărime fișier 1.0 MB ● Editura Springer Berlin ● Oraș Heidelberg ● Țară DE ● Publicat 2014 ● Descărcabil 24 luni ● Valută EUR ● ID 2612650 ● Protecție împotriva copiilor DRM social
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