LEADER 03186nam 2200637Ia 450 001 9910816646303321 005 20200520144314.0 010 $a1-281-91423-1 010 $a9786611914233 010 $a3-7643-8814-5 024 7 $a10.1007/978-3-7643-8814-0 035 $a(CKB)1000000000546302 035 $a(EBL)417022 035 $a(OCoLC)311484941 035 $a(SSID)ssj0000211937 035 $a(PQKBManifestationID)11175568 035 $a(PQKBTitleCode)TC0000211937 035 $a(PQKBWorkID)10136942 035 $a(PQKB)11526242 035 $a(DE-He213)978-3-7643-8814-0 035 $a(MiAaPQ)EBC417022 035 $a(Au-PeEL)EBL417022 035 $a(CaPaEBR)ebr10266792 035 $a(CaONFJC)MIL191423 035 $a(PPN)132862026 035 $a(EXLCZ)991000000000546302 100 $a20080624d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear parabolic-hyperbolic coupled systems and their attractors /$fYuming Qin 205 $a1st ed. 2008. 210 $aBasel $cBirkhauser ;$a[London $cSpringer, distributor]$dc2008 215 $a1 online resource (478 p.) 225 1 $aOperator theory, advances and applications ;$vv. 184 300 $aDescription based upon print version of record. 311 $a3-7643-8813-7 320 $aIncludes bibliographical references and index. 327 $aPreliminary -- 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. 330 $aThis book presents recent results concerning the global existence in time, the large-time behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible Navier-Stokes equations, thermo(visco)elastic systems and elastic systems. To keep the book as self-contained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequa 410 0$aOperator theory, advances and applications ;$vv. 184. 606 $aDifferential equations, Partial 606 $aDifferential equations, Nonlinear 615 0$aDifferential equations, Partial. 615 0$aDifferential equations, Nonlinear. 676 $a515.353 700 $aQin$b Yuming$0314000 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910816646303321 996 $aNonlinear parabolic-hyperbolic coupled systems and their attractors$9720536 997 $aUNINA