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“No matter how much I enjoyed parenthood, I found myself having to accept its fundamental truth: that nothing ever turns out quite as you’d expect.”It was a journey that most parents would hope to avoid: a son born with a congenital heart defect, a fateful decision to take a family trip abroad, and an emergency hospitalization that left them stranded on the other side of the world with no obvious way home. Despite these difficult circumstances...

This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the framework that allows a rigorous treatment of existence and uniqueness of solutions for both linear time-independent problems (Poisson's equation) and the nonlinear evolution equations which generate ...