An introduction to the mathematical theory of geophysical fluid dynamics / Введение в математическую теорию геофизической гидродинамики

This work is based on a series of lectures given to graduate students both at the University of Illinois, Chicago Circle in the United States, and at Oxford University in England. It is intended to provide a framework for such a course given primarily to graduate students in applied mathematics, as well as to be a useful supplementary text for students of oceanography, meteorology and engineering. A familiarity with basic fluid dynamics is assumed and some knowledge of asymptotic techniques would be helpful. Since the material presented is confined to a single course, the topics covered reflect to a certain extent personal preference. A number of important topics, particularly those concerning aspects of non-linear rotating fluid dynamics are omitted here and await treatment elsewhere. However, the fundamentals of theoretical geophysical fluid dynamics are given from first principles in order that they may be easily accessible to a motivated reader. <...>