1 option
Mathematical Models with Singularities : A Zoo of Singular Creatures / by Pedro J. Torres.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Torres, Pedro J., Author.
- Series:
- Atlantis Briefs in Differential Equations, 2405-6413 ; 1
- Language:
- English
- Subjects (All):
- Differential equations.
- Mathematical physics.
- Differential Equations.
- Mathematical Physics.
- Local Subjects:
- Differential Equations.
- Mathematical Physics.
- Physical Description:
- 1 online resource (130 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Motion of charged particles in a line
- An electrostatically actuated micro-electro-mechanical system
- Forced Keplerian-like systems
- Particles under a central force field
- Bose-Einstein condensates and signal transmission in optical fibers
- Electron beam focusing by means of a periodic magnetic field
- Point vortex dynamics
- Pumping effect in a pipe/tank flow configuration
- Radial oscillations of a bubble in a time-periodic pressure field
- Radial oscillations of cylindrical and spherical shells
- A model for cell volume regulation.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 94-6239-106-8
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.