Infinite-Dimensional Dynamical Systems in Atmospheric and Oceanic Science

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied

• Author: Boling Guo, Daiwen Huang
• ISBN: 9789814590396
• Publisher: World Scientific Publishing Company
• Publication: April 17, 2014
• Imprint: WSPC
• Language: English

The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given.

Contents:

• Nonlinear Equations of the Atmospheric and the Oceanic Motions
• Some Quasi-Geostrophic Models
• Well-Posedness and Global Attractors of the Primitive Equations
• Random Dynamical Systems of Atmosphere and Ocean
• Stability and Instability Theory

Readership: Graduate and postgraduate students in Mathematics; Mathematicians and Physicists majoring in atmospheric and oceanic dynamics.
Key Features:

• The book is a new edition that studies the infinite-dimensional dynamical systems in atmospheric and oceanic science
• The authors are experts in this field