Attractors and Inertial Manifolds: 1 - Hardcover

Guo; Boling; Ling; Liming; Ma; Yansheng; Yang; Hui

 
9783110549256: Attractors and Inertial Manifolds: 1
Hardcover
ISBN 10: 3110549255 ISBN 13: 9783110549256
Publisher: De Gruyter, 2018

Synopsis

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

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About the Author

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.

"About this title" may belong to another edition of this title.

Publisher
De Gruyter
Publication date
2018
Language
English
ISBN 10 
3110549255
ISBN 13 
9783110549256
Binding
Hardcover
Number of pages
430