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Infinite-Dimensional Dynamical Systems / Attractors and Inertial Manifolds

Boling Guo, Liming Ling, Yansheng Ma, Hui Yang (Autoren)

Buch | Hardcover

VIII, 430 Seiten

2018
De Gruyter (Verlag)
978-3-11-054925-6 (ISBN)

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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. ContentsAttractor and its dimension estimationInertial manifoldThe approximate inertial manifold

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.

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

Erscheinungsdatum	09.07.2018
Reihe/Serie	Infinite-Dimensional Dynamical Systems ; Volume 1
Zusatzinfo	30 b/w ill.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	951 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	ANGB59 • Applied • Applied mathematics • CATASTR. • Chaos • Differential Equations • Mathematical & Computational • Mathematics • Mathematik • Mechanics • Pfeiffer • Physics • Science • Theoretical and Mathematical Physics
ISBN-10	3-11-054925-5 / 3110549255
ISBN-13	978-3-11-054925-6 / 9783110549256
Zustand	Neuware