03327nam 22006015 450 991029977210332120200707031433.094-6239-106-810.2991/978-94-6239-106-2(CKB)3710000000342678(EBL)1967663(SSID)ssj0001424527(PQKBManifestationID)11789942(PQKBTitleCode)TC0001424527(PQKBWorkID)11368476(PQKB)10512092(DE-He213)978-94-6239-106-2(MiAaPQ)EBC1967663(PPN)183519884(EXLCZ)99371000000034267820150122d2015 u| 0engur|n|---|||||txtccrMathematical Models with Singularities A Zoo of Singular Creatures /by Pedro J. Torres1st ed. 2015.Paris :Atlantis Press :Imprint: Atlantis Press,2015.1 online resource (130 p.)Atlantis Briefs in Differential Equations,2405-6405 ;1Description based upon print version of record.94-6239-105-X Includes bibliographical references and index.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.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.Atlantis Briefs in Differential Equations,2405-6405 ;1Differential equationsMathematical physicsOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Differential equations.Mathematical physics.Ordinary Differential Equations.Mathematical Applications in the Physical Sciences.510515.352519Torres Pedro Jauthttp://id.loc.gov/vocabulary/relators/aut755737BOOK9910299772103321Mathematical models with singularities1522920UNINA