Attractors and Inertial Manifolds

Attractors and Inertial Manifolds PDF Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110549654
Category : Mathematics
Languages : en
Pages : 438

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Book Description
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems. Contents Attractor and its dimension estimation Inertial manifold The approximate inertial manifold

Attractors and Inertial Manifolds

Attractors and Inertial Manifolds PDF Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110549654
Category : Mathematics
Languages : en
Pages : 438

Get Book Here

Book Description
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems. Contents Attractor and its dimension estimation Inertial manifold The approximate inertial manifold

Attractors, inertial manifolds and their approximation

Attractors, inertial manifolds and their approximation PDF Author:
Publisher:
ISBN:
Category :
Languages : un
Pages : 203

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Attractors, Inertial Manifolds and Their Approximation

Attractors, Inertial Manifolds and Their Approximation PDF Author:
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 202

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Attractors, Inertial Manifolds and Their Approximation

Attractors, Inertial Manifolds and Their Approximation PDF Author: Centre national de la recherche scientifique (France)
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Attractors, inertial manifolds and their approximation

Attractors, inertial manifolds and their approximation PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Attractors, inertial manifolds and their approximation

Attractors, inertial manifolds and their approximation PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Attractors and Methods

Attractors and Methods PDF Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110587262
Category : Mathematics
Languages : en
Pages : 414

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Book Description
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. Contents Discrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves

Global Attractors and Approximate Inertial Manifolds for Abstract Dissipative Equations

Global Attractors and Approximate Inertial Manifolds for Abstract Dissipative Equations PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 19

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Attractors and Inertial Manifolds

Attractors and Inertial Manifolds PDF Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110549425
Category : Mathematics
Languages : en
Pages : 438

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Book Description
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems. Contents Attractor and its dimension estimation Inertial manifold The approximate inertial manifold

Attractors for Weakly Dissipative Equations

Attractors for Weakly Dissipative Equations PDF Author: Ricardo Martins da Silva Rosa
Publisher:
ISBN:
Category :
Languages : en
Pages : 430

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Book Description