{"product_id":"infinite-dimensional-dynamical-systems-book-james-c-robinson-9780521632041","title":"Infinite-Dimensional Dynamical Systems","description":"This book develops the theory of global attractors for a class of parabolic PDEs which 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 systems of the title. Attention then switches to the global attractor, a finite-dimensional subset of the infinite-dimensional phase space which determines the asymptotic dynamics. In particular, the concluding chapters investigate in what sense the dynamics restricted to the attractor are themselves 'finite-dimensional'. The book is intended as a didactic text for first year graduates, and assumes only a basic knowledge of Banach and Hilbert spaces, and a working understanding of the Lebesgue integral.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52484012474641,"sku":null,"price":0.0,"currency_code":"USD","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52484013687057,"sku":"NLS9780521632041","price":220.69,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521632041.jpg?v=1786119126","url":"https:\/\/www.worldofbooks.com\/products\/infinite-dimensional-dynamical-systems-book-james-c-robinson-9780521632041","provider":"World of Books ","version":"1.0","type":"link"}