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