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- catalog contributor b12466343.
- catalog contributor b12466344.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "4.5. Exponential Dichotomies: Existence and Robustness -- 4.6. Well-Posed Problems: C[subscript 0]-Theory -- 4.7. Well-Posed Problems: Analytic Theory -- 4.8. Regularity and Compactness Properties -- 4.9. The Linearized Equation -- Ch. 5. Nonlinear Partial Differential Equations -- 5.1. Reaction Diffusion Equations -- 5.2. Nonlinear Wave Equations -- 5.3. Equations of Convection -- 5.4. Kuramoto-Sivashinsky Equation -- 5.5. Cahn-Hilliard Equation -- Ch. 6. Navier-Stokes Dynamics -- 6.1. Formulation as a Nonlinear Evolutionary Equation -- 6.2. Bubnov-Galerkin Approximations -- 6.3. Weak Solutions -- 6.4. Strong Solutions -- 6.5. Navier-Stokes Dynamics: Global Attractors -- 6.6. The Kwak Transformation -- 6.7. Related Nonlinear Systems -- 6.8. Proofs for the Bubnov-Galerkin Approximations -- Ch. 7. Major Features of Dynamical Systems -- 7.1. Local Dynamics Near an Equilibrium -- 7.2. Dynamics of Gradient Systems -- 7.3. Behavior Near a Periodic Orbit -- 7.4. Invariant Manifolds -- ".
- catalog description "7.5. Applications -- 7.6. Nonautonomous Problems -- 7.7. Other Topics of Dynamical Systems -- Ch. 8. Inertial Manifolds: The Reduction Principle -- 8.1. Introduction -- 8.2. The Lyapunov-Perron Method -- 8.3. Existence of Inertial Manifolds: Spectral Gap Condition -- 8.4. Exponential Attraction of Inertial Manifolds -- 8.5. Smoothness of Inertial Manifolds -- 8.6. Applications of Inertial Manifold Theorems -- 8.7. Open Problems for Inertial Manifolds -- App. Basics of Functional Analysis.".
- catalog description "Ch. 1. The Evolution of Evolutionary Equations -- Ch. 2. Dynamical Systems: Basic Theory -- 2.1. Semiflows and Nonlinear Semigroups -- 2.2. Compact and [kappa]-Contracting Semiflows -- 2.3. Attractors and Global Attractors -- 2.4. Skew Product Dynamics and Nonautonomous Equations -- 2.5. Singular Semiflows -- Ch. 3. Linear Semigroups -- 3.1. C[subscript 0]-Semigroups and Infinitesimal Generators -- 3.2. An Illustrative Example -- 3.3. Compact and [kappa]-Contracting C[subscript 0]-Semigroups -- 3.4. Hille-Yosida and Lumer-Phillips Theorems -- 3.5. Differentiable Semigroups -- 3.6. Analytic Semigroups and Sectorial Operators -- 3.7. Fractional Powers and Interpolation Spaces -- 3.8. Illustrations -- 3.9. Perturbation Theory -- Ch. 4. Basic Theory of Evolutionary Equations -- 4.1. PDEs as Evolutionary Equations -- 4.2. Solution Concepts and the Variation of Constants Formula -- 4.3. Linear Skew Product Semiflows -- 4.4. Perturbations of Analytic Semigroups -- ".
- catalog description "Includes bibliographical references (p. [629]-653) and indexes.".
- catalog extent "xiii, 670 p. :".
- catalog identifier "0387983473 (alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 143.".
- catalog isPartOf "Applied mathematical sciences ; v. 143".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 515/.35 21".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Evolution equations.".
- catalog subject "QA1.A647 vol. 143 QA614.8".
- catalog tableOfContents "4.5. Exponential Dichotomies: Existence and Robustness -- 4.6. Well-Posed Problems: C[subscript 0]-Theory -- 4.7. Well-Posed Problems: Analytic Theory -- 4.8. Regularity and Compactness Properties -- 4.9. The Linearized Equation -- Ch. 5. Nonlinear Partial Differential Equations -- 5.1. Reaction Diffusion Equations -- 5.2. Nonlinear Wave Equations -- 5.3. Equations of Convection -- 5.4. Kuramoto-Sivashinsky Equation -- 5.5. Cahn-Hilliard Equation -- Ch. 6. Navier-Stokes Dynamics -- 6.1. Formulation as a Nonlinear Evolutionary Equation -- 6.2. Bubnov-Galerkin Approximations -- 6.3. Weak Solutions -- 6.4. Strong Solutions -- 6.5. Navier-Stokes Dynamics: Global Attractors -- 6.6. The Kwak Transformation -- 6.7. Related Nonlinear Systems -- 6.8. Proofs for the Bubnov-Galerkin Approximations -- Ch. 7. Major Features of Dynamical Systems -- 7.1. Local Dynamics Near an Equilibrium -- 7.2. Dynamics of Gradient Systems -- 7.3. Behavior Near a Periodic Orbit -- 7.4. Invariant Manifolds -- ".
- catalog tableOfContents "7.5. Applications -- 7.6. Nonautonomous Problems -- 7.7. Other Topics of Dynamical Systems -- Ch. 8. Inertial Manifolds: The Reduction Principle -- 8.1. Introduction -- 8.2. The Lyapunov-Perron Method -- 8.3. Existence of Inertial Manifolds: Spectral Gap Condition -- 8.4. Exponential Attraction of Inertial Manifolds -- 8.5. Smoothness of Inertial Manifolds -- 8.6. Applications of Inertial Manifold Theorems -- 8.7. Open Problems for Inertial Manifolds -- App. Basics of Functional Analysis.".
- catalog tableOfContents "Ch. 1. The Evolution of Evolutionary Equations -- Ch. 2. Dynamical Systems: Basic Theory -- 2.1. Semiflows and Nonlinear Semigroups -- 2.2. Compact and [kappa]-Contracting Semiflows -- 2.3. Attractors and Global Attractors -- 2.4. Skew Product Dynamics and Nonautonomous Equations -- 2.5. Singular Semiflows -- Ch. 3. Linear Semigroups -- 3.1. C[subscript 0]-Semigroups and Infinitesimal Generators -- 3.2. An Illustrative Example -- 3.3. Compact and [kappa]-Contracting C[subscript 0]-Semigroups -- 3.4. Hille-Yosida and Lumer-Phillips Theorems -- 3.5. Differentiable Semigroups -- 3.6. Analytic Semigroups and Sectorial Operators -- 3.7. Fractional Powers and Interpolation Spaces -- 3.8. Illustrations -- 3.9. Perturbation Theory -- Ch. 4. Basic Theory of Evolutionary Equations -- 4.1. PDEs as Evolutionary Equations -- 4.2. Solution Concepts and the Variation of Constants Formula -- 4.3. Linear Skew Product Semiflows -- 4.4. Perturbations of Analytic Semigroups -- ".
- catalog title "Dynamics of evolutionary equations / George R. Sell, Yuncheng You.".
- catalog type "text".