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Attractors for Nonlinear Autonomous Dynamical Systems
B0B42KW2L4 pdf This book introduces complete and systematic theories of infinite-dimensional dynamical systems and their applications in partial differential equations, especially in the models of fluid mechanics. It is based on the first authors lecture Infinite dimensional dynamical systems on nonlinear autonomous systems given to graduate students in Donghua University since 2004. This book presents recent results that have been carried out by the authors on autonomous nonlinear evolutionary equations arising from physics, fluid mechanics and material science such as the NavierStokes equations, NavierStokesVoight systems, the nonlinear thermoviscoelastic system, etc.