03186nam 2200637Ia 450 991081664630332120200520144314.01-281-91423-197866119142333-7643-8814-510.1007/978-3-7643-8814-0(CKB)1000000000546302(EBL)417022(OCoLC)311484941(SSID)ssj0000211937(PQKBManifestationID)11175568(PQKBTitleCode)TC0000211937(PQKBWorkID)10136942(PQKB)11526242(DE-He213)978-3-7643-8814-0(MiAaPQ)EBC417022(Au-PeEL)EBL417022(CaPaEBR)ebr10266792(CaONFJC)MIL191423(PPN)132862026(EXLCZ)99100000000054630220080624d2008 uy 0engur|n|---|||||txtccrNonlinear parabolic-hyperbolic coupled systems and their attractors /Yuming Qin1st ed. 2008.Basel Birkhauser ;[London Springer, distributor]c20081 online resource (478 p.)Operator theory, advances and applications ;v. 184Description based upon print version of record.3-7643-8813-7 Includes bibliographical references and index.Preliminary -- A One-dimensional Nonlinear Viscous and Heat-conductive Real Gas -- A One-dimensional Polytropic Viscous and Heat-conductive Gas -- A Polytropic Ideal Gas in Bounded Annular Domains in -- A Polytropic Viscous Gas with Cylinder Symmetry in -- One-dimensional Nonlinear Thermoviscoelasticity -- A Nonlinear One-dimensional Thermoelastic System with a Thermal Memory -- One-dimensional Thermoelastic Equations of Hyperbolic Type -- Blow-up for the Cauchy Problem in Nonlinear One-dimensional Thermoelasticity -- Large-Time Behavior of Energy in Multi-Dimensional Elasticity.This book presents recent results concerning the global existence in time, the large-time behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible Navier-Stokes equations, thermo(visco)elastic systems and elastic systems. To keep the book as self-contained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequaOperator theory, advances and applications ;v. 184.Differential equations, PartialDifferential equations, NonlinearDifferential equations, Partial.Differential equations, Nonlinear.515.353Qin Yuming314000MiAaPQMiAaPQMiAaPQBOOK9910816646303321Nonlinear parabolic-hyperbolic coupled systems and their attractors720536UNINA