The study of internal gravity waves provides many challenges: they
move along interfaces as well as in fully three-dimensional space,
at relatively fast temporal and small spatial scales, making them
difficult to observe and resolve in weather and climate models.
Solving the equations describing their evolution poses various
mathematical challenges associated with singular boundary value
problems and large amplitude dynamics. This book provides the first
comprehensive treatment of the theory for small and large amplitude
internal gravity waves. Over 120 schematics, numerical simulations
and laboratory images illustrate the theory and mathematical
techniques, and 130 exercises enable the reader to apply their
understanding of the theory. This is an invaluable single resource
for academic researchers and graduate students studying the motion
of waves within the atmosphere and ocean, and also mathematicians,
physicists and engineers interested in the properties of
propagating, growing and breaking waves.
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