9780521632041 - Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics, 2... (4 Ergebnisse)

Zustand: New. pp. 480 14 Illus.

Zustand: New. This book treats the theory of global attractors, a recent development in the theory of partial differential equations. Series Editor(s): Ablowitz, Mark J.; Davis, S. H.; Hinch, E. J.; Iserles, A.; Ockendon, J.; Olver, P. J. Series: Cambridge Texts in Applied Mathematics. Num Pages: 480 pages, 14 b/w illus. BIC Classification: PBKJ; PBW. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 30. Weight in Grams: 752. . 2001. Illustrated. hardcover. . . . . Books ship from the US and Ireland.

Hardcover. Zustand: Brand New. 1st edition. 461 pages. 9.25x6.25x1.00 inches. In Stock.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.