Nonlinear parabolic-hyperbolic coupled systems and their attractors / Yuming Qin.

Format:

Book

Author/Creator:

Qin, Yuming.

Series:

Operator theory, advances and applications ; v. 184.

Operator theory, advances and applications ; v. 184

Language:

English

Subjects (All):

Differential equations, Partial.

Differential equations, Nonlinear.

Physical Description:

1 online resource (478 p.)

Edition:

1st ed. 2008.

Place of Publication:

Basel : Birkhauser ; [London : Springer, distributor], c2008.

Language Note:

English

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

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.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611914233

9781281914231

1281914231

9783764388140

3764388145

OCLC:

311484941