Robinson, James C., (James Cooper)

Infinite-Dimensional Dynamical Systems : An Introduction to dissipative Parabolic PDEs and the Theory of Global Attractors / James C. Robinson - xvii, 461 p. : ilustrado ; 24 cm.

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

0-521-63204-8


Attractors (mathematics)
Differential equations parabolic
Atractores (matemáticas)
Ecuaciones diferenciales parabólicas

514.74 / R659i

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