Infinite-Dimensional Dynamical Systems : An Introduction to dissipative Parabolic PDEs and the Theory of Global Attractors / James C. Robinson
By: Robinson, James C., (James Cooper)
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Cambridge : Cambridge University Press, 2001 Description: xvii, 461 p. : ilustrado ; 24 cm.ISBN: 0-521-63204-8.Subject(s): Attractors (mathematics)![](/opac-tmpl/bootstrap/images/filefind.png)
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Functional Analysis -- Banach and Hilbert Spaces -- Ordinary Differential Equations -- Linear Operators --
Dual Spaces -- Sobolev Spaces -- Existence and Uniquenses Theory -- Weak Solutions of Linear Parabolic
Equations -- Nonlinear reaction-Diffusion Equations -- The Navier-Stokes Equations : Existence and Uniqueness
-- finite-dimensional global Attractors -- The global Attractors : Existence and general properties -- The
Global Attractors for Reaction-Diffusion Equations -- The Global Attractors for the Navier -Stokes Equations
-- finite-dimensional Attractors : Theory and examples -- finite-dimensional Dynamics -- The Strong Squeexing
Property : Inertial Manifolds -- A Direct Approach -- The Kuramoto-Sivashinsky Equation -- Appendix A :
Sobolev Spaces pf Periodic Functions -- Appendix : Bounding the Fractal Dimension Using the Decay of Volume
elements -- References
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