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Field name	Details
Dewey Class	515.353(DDC 23)
Title	Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors ([Ebook]) / by Yuming Qin.
Author	Qin, Yuming
Other name(s)	SpringerLink (Online service)
Publication	Basel : : Birkhäuser, Basel, , 2008.
Physical Details	: online resource.
Series	Operator Theory: Advances and Applications, Advances in Partial Differential Equations ; 184
ISBN	9783764388140
Summary Note	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 inequalities in analysis, and the theory of semigroups of linear operators and of global attractors.:
Contents note	Preface -- 1. Preliminaries -- 2. A 1D Nonlinear Viscous and Heat-conductive Real Gas -- 3. A 1D Polytropic Viscous and Heat-conductive Gas -- 4. A Polytropic Ideal Gas in Bounded Annular Domains -- 5. A Polytropic Viscous Gas with Cylinder Symmetry -- 6. 1D Nonlinear Thermoviscoelasticity -- 7. A Nonlinear 1D Thermoelastic Systems with Thermal Memory -- 8. 1D Thermoelastic Equations of Hyperbolic Type -- 9. Blow-up for the Cauchy Problem -- 10. Large-Time Behaviour of Energy in Multi-Dimensional Elasticity -- Index.
System details note	Online access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8814-0
Links to Related Works	Subject References: Differential equations, Partial . Mathematics . Operator Theory . Partial differential equations . Authors: Qin, Yuming . Corporate Authors: SpringerLink (Online service) . Series: Operator Theory: Advances and Applications, Advances in Partial Differential Equations . Classification: 515.353 (DDC 23) . 515.353(DDC 23) .

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Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors

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