Geophysical Waves and Flows: Theory and Applications in the Atmosphere, Hydrosphere and Geosphere

David E. Loper

doi:10.1017/9781316888858

Waves and flows are pervasive on and within Earth. This book presents a unified physical and mathematical approach to waves and flows in the atmosphere, oceans, rivers, volcanoes and the mantle, emphasizing the common physical principles and mathematical methods that apply to a variety of phenomena and disciplines. It is organized into seven parts: introductory material; kinematics, dynamics and rheology; waves in non-rotating fluids; waves in rotating fluids; non-rotating flows; rotating flows; and silicate flows. The chapters are supplemented by 47 'fundaments', containing knowledge that is fundamental to the material presented in the main text, organized into seven appendices: mathematics; dimensions and units; kinematics; dynamics; thermodynamics; waves; and flows. This book is an ideal reference for graduate students and researchers seeking an introduction to the mathematics of waves and flows in the Earth system, and will serve as a supplementary textbook for a number of courses in geophysical fluid dynamics.

'At last! An applied mathematician who ably explains complicated geophysical phenomena thoroughly and transparently. Read, enjoy and learn! I have.'

Paul Roberts - University of California, Los Angeles

'This is a feast for mathematically literate oceanographers and atmospheric scientists and a crucial reference for established mathematicians who may be embarking on research in one of these disciplines. The amazing array of types of wave and flow is systematically analyzed by presenting them as examples of fundamental principles with shared mathematical features. The comprehensive coverage of the subject ensures both immediate usefulness and an extended life as a reference work.'

Frank Stacey - formerly of CSIRO

'… a unique book … The holistic approach - of including the history, basic properties, relevance and modern usage of waves in the diverse areas of geophysics - makes the book an ideal companion for every geophysicist and a valuable resource in every library.'

Ibrahim Eltayeb - Sultan Qaboos University, Oman

'This book is an important contribution to geophysics and applied mathematics. Its goal is to present a uniﬁed approach to geophysical waves and ﬂows in a systematic manner. The omni-pervasive subject that it discusses makes it attractive for researchers both in geophysics and astrophysics. Furthermore, the structure of this volume is a multilayered one, so that it can be accessed by a variety of audiences.'

Silvia De Bianchi Source: Mathematical Reviews

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Geophysical Waves and Flows

Theory and Applications in the Atmosphere, Hydrosphere and Geosphere

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