{"product_id":"infinite-dimensional-dynamical-systems-an-introduction-to-dissipative-parabolic-pdes-and-the-theory-of-global-attractors-9780521632041","title":"Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors","description":"\u003cp\u003e • Author(s): James C. Robinson | D. G. Crighton | M. J. Ablowitz\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Topology - General\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Hardcover","offer_id":46432916111511,"sku":"9780521632041","price":11873.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780521632041.webp?v=1769306798","url":"https:\/\/atlanticbooks.com\/products\/infinite-dimensional-dynamical-systems-an-introduction-to-dissipative-parabolic-pdes-and-the-theory-of-global-attractors-9780521632041","provider":"Atlantic Books","version":"1.0","type":"link"}