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Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors

by James C. Robinson , D. G. Crighton , M. J. Ablowitz
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Current price ₹11,873.00
Original price ₹18,265.00
Original price ₹18,265.00
Original price ₹18,265.00
(-35%)
₹11,873.00
Current price ₹11,873.00

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Book cover type: Hardcover
  • ISBN13: 9780521632041
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 480
  • Original Price: GBP 147.0
  • Language: English
  • Edition: N/A
  • Item Weight: 871 grams
  • BISAC Subject(s): Topology

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.

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