Z Z Gan; R Q Han; Hou-zhi Zheng; Bang-fen Zhu; Jian-bai Xia; G G Qin; Guo Zhen Yang; Z T Zhong World Scientific Publishing Co Pte Ltd (1989) Kovakantinen kirja
Xiang-he Sun; Wenyu Qu; Ivan Stojmenovic; Wanlei Zhou; Zhiyang Li; Hua Guo; Geyong Min; Tingting Yang; Yulei Wu; L Liu Springer International Publishing AG (2014) Pehmeäkantinen kirja
Minyi Guo; Laurence T. Yang; Beniamino Di Martino; Hans Zima; Jack Dongarra; Feilong Tang Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2006) Pehmeäkantinen kirja
De Gruyter Sivumäärä: 438 sivua Asu: Kovakantinen kirja Julkaisuvuosi: 2018, 09.07.2018 (lisätietoa) Kieli: Englanti
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
