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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).
Cambridge : Cambridge University Press, 2001 Description: xvii, 461 p. : ilustrado ; 24 cm.ISBN: 0-521-63204-8.Subject(s): Attractors (mathematics) | Differential equations parabolic | Atractores (matemáticas) | Ecuaciones diferenciales parabólicasDDC classification: 514.74 / R659i
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List(s) this item appears in: Matemática aplicada
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FONDO BIBL 514.74 / R659i (Browse shelf) 8001 1 Available CO 8000021818
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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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