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Attractors and Inertial Manifolds
Buch von Boling Guo (u. a.)
Sprache: Englisch

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Beschreibung
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
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
Über den Autor
B. Guo, Inst. of Appl. Phys. & Comp. Math.; L. Ling, South China U. of Tech.; Y. Ma, Northeast Normal U.; H. Yang, Yunnan Normal U.
Inhaltsverzeichnis
Table of contents
Chapter 1 The Attractor and Its Estimation of Dimension
Chapter 2 Inertial Manifold
Chapter 3 The Approximate Inertial Manifold
Chapter 4 Discrete Attractor and Approximate Calculation
Chapter 5 Some Properties of Global Attractor
Chapter 6 The dynamics with small dissipation
Chapter 7 Existence and Stability of Solitary Waves
Chapter 8 Numerical computation method for some nonlinear evolution equations
References
Details
Erscheinungsjahr: 2018
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: VIII
430 S.
30 s/w Illustr.
30 b/w ill.
ISBN-13: 9783110549256
ISBN-10: 3110549255
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Guo, Boling
Yang, Hui
Ma, Yansheng
Ling, Liming
Hersteller: De Gruyter
Maße: 246 x 175 x 29 mm
Von/Mit: Boling Guo (u. a.)
Erscheinungsdatum: 09.07.2018
Gewicht: 0,917 kg
Artikel-ID: 111034632
Über den Autor
B. Guo, Inst. of Appl. Phys. & Comp. Math.; L. Ling, South China U. of Tech.; Y. Ma, Northeast Normal U.; H. Yang, Yunnan Normal U.
Inhaltsverzeichnis
Table of contents
Chapter 1 The Attractor and Its Estimation of Dimension
Chapter 2 Inertial Manifold
Chapter 3 The Approximate Inertial Manifold
Chapter 4 Discrete Attractor and Approximate Calculation
Chapter 5 Some Properties of Global Attractor
Chapter 6 The dynamics with small dissipation
Chapter 7 Existence and Stability of Solitary Waves
Chapter 8 Numerical computation method for some nonlinear evolution equations
References
Details
Erscheinungsjahr: 2018
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: VIII
430 S.
30 s/w Illustr.
30 b/w ill.
ISBN-13: 9783110549256
ISBN-10: 3110549255
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Guo, Boling
Yang, Hui
Ma, Yansheng
Ling, Liming
Hersteller: De Gruyter
Maße: 246 x 175 x 29 mm
Von/Mit: Boling Guo (u. a.)
Erscheinungsdatum: 09.07.2018
Gewicht: 0,917 kg
Artikel-ID: 111034632
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