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Mathematical Models with Singularities [[electronic resource] ] : A Zoo of Singular Creatures / / by Pedro J. Torres



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Autore: Torres Pedro J Visualizza persona
Titolo: Mathematical Models with Singularities [[electronic resource] ] : A Zoo of Singular Creatures / / by Pedro J. Torres Visualizza cluster
Pubblicazione: Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2015
Edizione: 1st ed. 2015.
Descrizione fisica: 1 online resource (130 p.)
Disciplina: 510
515.352
519
Soggetto topico: Differential equations
Mathematical physics
Ordinary Differential Equations
Mathematical Applications in the Physical Sciences
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Mathematical models with singularities  Visualizza cluster
ISBN: 94-6239-106-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910299772103321
Lo trovi qui: Univ. Federico II
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Serie: Atlantis Briefs in Differential Equations, . 2405-6405 ; ; 1