Mathematical Models with Singularities
A Zoo of Singular Creatures
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Beschreibung
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.
A collection of models with singularities is presented Each chapter presents the history of the model and the current state of the art Interesting open problems are pointed out as a guide for future research Includes supplementary material: sn.pub/extras
Autor*in
Pedro J. Torres
Themen in »Mathematical Models with Singularities«
Differential equation Mathematical applications Mathematical model Modelling of real world processes Singularity ordinary differential equations