"This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures - recurrent patterns - in turbulent flows, it describes mathematical methods that reduce the governing (Navier-Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995"--
Numerous inroads to this research exist for the advanced student. This book offers glimpses into the field with the aim that the results presented illuminate the beauty & excitement to be found.
Dynamics & Stochastics: Festschrift in Honour of M.S. Keane
书名原文:Mathematics of models:Continuous and discrete dynamical systems
Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.
A New Mathematical Framework for the Study of Linkage and Selection
This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications.
This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations ...
(203) [204] (205 (206 (207) (208) (209) [210 [211] [212 [213 [214] [215] [216 [217] [218] (219) [220) M. Reed and B. Simon, Methods of Modern Mathematical Physics IV. Analysis of Operators, Academic Press, San Diego, 1978.
... and José Seade, Editors, Geometry and dynamics, 2005 Ravi Vakil, Editor, Snowbird lectures in algebraic geometry, 2005 Michael Entov, Yehuda Pinchover, and Michah Sageev, Editors, Geometry, spectral theory, groups, and dynamics, ...
Global Structural Stability of Flows on Open Surfaces