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An elementary overview of the basic wave concept, specific wave phenomena are then examined, including: surface gravity waves, internal gravity waves, lee waves, waves in the presence of rotation, and geostrophic adjustment. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results.
Introduction.- Kinematic Generalization.- Equations of Motion.- Fields of Motion in Gravity Waves and the Energy.- The Initial Value Problem.- Discussion of Initial Value Problem.- Internal Gravity Waves.- Internal Waves, Group Velocity and Reflection.- WKB Theory for Internal Gravity Waves.- Vertical Propagation of Waves: Steady Flow and the Radiation Condition.- Rotation and Potential Vorticity.- Large Scale Hydrostatic Motions.- Shallow Water Waves in a Rotating Fluid, Poincare and Kelvin Waves.- Rossby Waves.- Rossby Waves, Quasi-Geostrophy.- Energy and Energy Flux in Rossby Waves.- Laplace Tidal Equations and the Vertical Structure Equation.- Equatorial b - Plane and Equatorial Waves.- Stratified Quasi-Geostrophic Motion and Instability Waves.- Energy Equation and Necessary Conditions for Instability.- Wave - Mean Flow Interaction.- Problem Set 1-12.
From the reviews: Praise for Joseph Pedlosky's Waves in the ocean and atmosphere American Meteorological Society "This title presents a study of the fundamental theory of waves appropriate for first year graduate students. After an elementary overview of the basic wave concept, specific phenomena are then examined, including surface and internal gravity waves, lee waves, geostrophic adjustment, wave-mean flow interaction, and unstable waves. Each wave topic is used to introduce either a new technique or concept in general wave theory. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results" "Pedlosky has spent his time well in writing Waves in the Ocean and Atmosphere. ! The writing is informal and engaging. ! the clarity of the figures and text is uniformly high. ! my message to students and researchers working in the fields of atmospheric and oceanic dynamics is 'buy this book'. You will find it an invaluable reference work." (Andrew J. Willmott, Geophysical and Astrophysical Fluid Dynamics, Vol. 99 (4), August, 2005) "This book is based on the author's lecture notes for a core course on wave theory ! . The treatment is avowedly informal, making the presentation more easily accessible to beginning students ! . the book is a welcome contribution to the literature by a distinguished investigator ! . It can benefit students whether or not it is the required text for a course, and can be used as well as a reference or guide by others. The opportunity to share the insights of a teacher ! should not be missed." (John Merrill, Bulletin of the American Meteorological Society, April, 2005)