Mathematical Models with Singularities

A Zoo of Singular Creatures

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Mathematical Models with Singularities by Pedro J. Torres, Atlantis Press
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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.

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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.

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