Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors
Publication year: 2008
ISBN: 978-3-7643-8814-0
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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.
Subject: Mathematics and Statistics, Cauchy problem, Sobolev space, elasticity theory, functional analysis, partial differential equation, polytropic gas, thermoviscoelasticity, viscous gas, partial differential equations
