Mathematical Models with Singularities
A Zoo of Singular Creatures
Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
| Author: | Pedro J. Torres | ISBN: | 9789462391062 |
| Publisher: | Atlantis Press | Publication: | January 22, 2015 |
| Imprint: | Atlantis Press | Language: | English |
| Author: | Pedro J. Torres |
| ISBN: | 9789462391062 |
| Publisher: | Atlantis Press |
| Publication: | January 22, 2015 |
| Imprint: | Atlantis Press |
| Language: | English |
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.
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.
