Attractors for Nonlinear Autonomous Dynamical Systems

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 author’s 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 evolutionar yequations arising from physics, fluid mechanics and material science such as the Navier–Stokes equations, Navier–Stokes–Voight systems, the nonlinear thermoviscoelastic system, etc.

Dr. Yuming QIN is full professor, head of Mathematics Department and director of Institute of Nonlinear Sciences of Donghua University. His research interests are global (local) wellposedness of solutions and infinite-dimensional dynamical systems for nonlinear evolutionary equations including fluid equations such as Navier–Stokes equations, MHD, etc, and thermo(visco)elasticequations.

Dr. Keqin SU is associate professor in College of Information and ManagementScience, Henan Agricultural University since 2020.