{"product_id":"infinite-dimensional-dynamical-systems-james-c-robinson-9780521635646","title":"Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors","description":"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 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e James C. Robinson\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521635640\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521635646\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/16\/2001\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 480\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.39lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.91h x 6.13w x 1.01d","brand":"James C. Robinson","offers":[{"title":"Paperback","offer_id":43981005717759,"sku":"9780521635646","price":82.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_7ff4739c-8e05-411d-a4e5-cd26b194c9ce.jpg?v=1683253142","url":"https:\/\/www.whiterainbookhouse.com\/products\/infinite-dimensional-dynamical-systems-james-c-robinson-9780521635646","provider":"WR Book House","version":"1.0","type":"link"}