Infinite-Dimensional Dynamical Systems. / Volume 1, : Attractors and Inertial Manifolds / / Boling Guo, Liming Ling, Yansheng Ma, Hui Yang.

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 ri...

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Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Series:Infinite-Dimensional Dynamical Systems ; Volume 1
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Physical Description:1 online resource (VIII, 430 p.)
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245 1 0 |a Infinite-Dimensional Dynamical Systems.   |n Volume 1,   |p Attractors and Inertial Manifolds /  |c Boling Guo, Liming Ling, Yansheng Ma, Hui Yang. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2018] 
264 4 |c ©2018 
300 |a 1 online resource (VIII, 430 p.) 
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490 0 |a Infinite-Dimensional Dynamical Systems ;  |v Volume 1 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1. Attractor and its dimension estimation --   |t 2. Inertial manifold --   |t 3. The approximate inertial manifold --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Attractors (Mathematics). 
650 7 |a MATHEMATICS / Applied.  |2 bisacsh 
700 1 |a Ling, Liming ,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Ma, Yansheng,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Yang, Hui,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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