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035   $a(DE-He213)978-94-6239-106-2
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100   $a20150122d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMathematical Models with Singularities $eA Zoo of Singular Creatures /$fby Pedro J. Torres
205   $a1st ed. 2015.
210  1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2015.
215   $a1 online resource (130 p.)
225 1 $aAtlantis Briefs in Differential Equations,$x2405-6405 ;$v1
300   $aDescription based upon print version of record.
311   $a94-6239-105-X 
320   $aIncludes bibliographical references and index.
327   $aMotion of charged particles in a line -- An electrostatically actuated micro-electro-mechanical system -- Forced Keplerian-like systems -- Particles under a central force ?eld -- Bose-Einstein condensates and signal transmission in optical ?bers -- Electron beam focusing by means of a periodic magnetic ?eld -- Point vortex dynamics -- Pumping effect in a pipe/tank ?ow con?guration -- Radial oscillations of a bubble in a time-periodic pressure ?eld -- Radial oscillations of cylindrical and spherical shells -- A model for cell volume regulation.
330   $aThe book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.
410  0$aAtlantis Briefs in Differential Equations,$x2405-6405 ;$v1
606   $aDifferential equations
606   $aMathematical physics
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
615  0$aDifferential equations.
615  0$aMathematical physics.
615 14$aOrdinary Differential Equations.
615 24$aMathematical Applications in the Physical Sciences.
676   $a510
676   $a515.352
676   $a519
700   $aTorres$b Pedro J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755737
906   $aBOOK
912   $a9910299772103321
996   $aMathematical models with singularities$91522920
997   $aUNINA