Mathematical Models with Singularities: A Zoo of Singular Creatures (Atlantis Briefs in Differential Equations
Pedro J. Torres, "Mathematical Models with Singularities: A Zoo of Singular Creatures (Atlantis Briefs in Differential Equations "
English | ISBN: 946239105X | 2015 | 137 pages | EPUB | 2 MB
English | ISBN: 946239105X | 2015 | 137 pages | EPUB | 2 MB
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.