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 the infinite-dimensional dynamical systemss of the title. Attention then switches to the global attractor, a finite-dimensional subset of the...

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 the infinite-dimensional dynamical systemss of the title. Attention then switches to the global attractor, a finite-dimensional subset of the...

Innovation in medical technology generates a remarkable supply of new drugs, devices, and diagnostics that improve health, reduce risks, and extend life. But these technologies are too often used on the wrong patient, in the wrong setting, or at an unaffordable price. The only way to moderate the growth in health care costs without undermining the dynamic of medical innovation is to improve the process of assessing, pricing, prescribing, and using new technologies. Purchasing Medical Innovation analyzes the contemporary revolution in the purchasing of health care technology, with a...