Mathematical Models with Singularities A Zoo of Singular Creatures /

The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. E...

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Main Author: Torres, Pedro J. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
Edition:1st ed. 2015.
Series:Atlantis Briefs in Differential Equations, 1
Subjects:
Online Access:https://doi.org/10.2991/978-94-6239-106-2
Summary:The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.
Physical Description:XIII, 124 p. 16 illus., 7 illus. in color. online resource.
ISBN:9789462391062
ISSN:2405-6405 ;