Mathematical Models with Singularities
Subtitle: A Zoo of Singular Creatures
Publisher: Atlantis Press (Zeger Karssen)
Published: 2015
Language: eng
Number of pages: 124
ISBN-13: 9789462391055
Subjects: Singularities (mathematics); Mathematical models
Description: 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.