TY - BOOK ID - 78645899 TI - Infinite-Dimensional Dynamical Systems. AU - Guo, Boling, AU - Ling, Liming , AU - Ma, Yansheng, AU - Yang, Hui, PY - 2018 SN - 3110549425 3110549654 9783110549652 9783110549423 3110549255 9783110549256 PB - Berlin ; Boston : De Gruyter, DB - UniCat KW - Mathematics. KW - Differentiable dynamical systems. KW - Differential equations. KW - 517.91 Differential equations KW - Differential equations KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Global analysis (Mathematics) KW - Topological dynamics KW - Math KW - Science UR - https://www.unicat.be/uniCat?func=search&query=sysid:78645899 AB - 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 ER -