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    INFINITE DIMENSION DYNAMIC SYSTEMS
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    40379

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    Sinopse

    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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    Especificações

    ISBN9780521635646
    Peso536g
    Livro disponível - pronta entregaNão
    Tipo itemLivro Importado
    Número de páginas480
    Número da edição1ª EDICAO - 2001
    Código Interno40379
    Código de barras9780521635646
    AcabamentoPAPERBACK
    AutorROBINSON, JAMES C.
    EditoraCAMBRIDGE UNIVERSITY PRESS
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