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.
Tabela de Conteúdo
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.
Língua Inglês ● Formato PDF ● Páginas 112 ● ISBN 9783642336966 ● Tamanho do arquivo 1.0 MB ● Editora Springer Berlin ● Cidade Heidelberg ● País DE ● Publicado 2014 ● Carregável 24 meses ● Moeda EUR ● ID 2612650 ● Proteção contra cópia DRM social