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Record Nr. |
UNINA9910299772103321 |
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Autore |
Torres Pedro J |
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Titolo |
Mathematical Models with Singularities : A Zoo of Singular Creatures / / by Pedro J. Torres |
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Pubbl/distr/stampa |
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Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (130 p.) |
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Collana |
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Atlantis Briefs in Differential Equations, , 2405-6405 ; ; 1 |
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Disciplina |
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Soggetti |
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Differential equations |
Mathematical physics |
Ordinary Differential Equations |
Mathematical Applications in the Physical Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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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