Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors

Yuming Qin, quot;Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractorsquot;
Birkhäuser Basel | 2008 | ISBN: 3764388137 | 465 pages | File type: PDF | 13,7 mb
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.
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