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Mathematical Models with Singularities
Pedro J. Torres
其他書名
A Zoo of Singular Creatures
出版
Springer
, 2015-01-22
主題
Mathematics / Differential Equations / General
Mathematics / Applied
Mathematics / Mathematical Analysis
ISBN
9462391068
9789462391062
URL
http://books.google.com.hk/books?id=aptfBgAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.