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

• Κύριος συγγραφέας: Wang, Kelei (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Θέματα: Mathematics.; Functional analysis.; Partial differential equations.; Partial Differential Equations.; Functional Analysis.

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 differe...

Πίνακας περιεχομένων:

• 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.