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E-book
Author Qin, Yuming.

Title Nonlinear parabolic-hyperbolic coupled systems and their attractors / Yuming Qin
Published Basel : Birkhäuser ; [London] : [Springer, distributor], ©2008

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Description 1 online resource (xv, 465 pages)
Series Operator theory, advances and applications ; v. 184
Operator theory, advances and applications ; v. 184.
Contents 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
Summary 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 inequa
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Differential equations, Partial.
Differential equations, Nonlinear.
MATHEMATICS -- Differential Equations -- Partial.
Differential equations, Partial.
Differential equations, Nonlinear.
Ecuaciones diferenciales no lineales
Ecuaciones en derivadas parciales
Differential equations, Nonlinear
Differential equations, Partial
Form Electronic book
ISBN 9783764388140
3764388145
9783764388133
3764388137