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Quasi-linear Theory for Surface Wave-Current Interactions
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Quasi-linear Theory for Surface Wave-Current Interactions

1st ed. 2022

Book Details

Format Paperback / Softback
ISBN-10 9811928754
ISBN-13 9789811928758
Edition 1st ed. 2022
Publisher Springer Verlag, Singapore
Imprint Springer Verlag, Singapore
Country of Manufacture GB
Country of Publication GB
Publication Date Oct 6th, 2022
Print length 126 Pages
Ksh 8,100.00
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This book introduces a mathematical theory for the interaction of oceanic surface gravity waves and oceanic currents. The surface gravity wave–current interaction theory is a more complete theory than previous with respect to an asymptotic expansion in the small parameter V/C, where V is a current speed and C is a wave speed.

This book introduces a mathematical theory for the interaction of oceanic surface gravity waves and oceanic currents. This theory is formulated using the quasi-linear approximation for a uniform density fluid with a free surface and it provides wave-averaged expressions for the wave amplitudes and for the dynamical evolution of the currents. The surface gravity wave-current interaction theory is a more complete theory than previous with respect to an asymptotic expansion in the small parameter V/C, where V is a current speed and C is a wave speed. This book also illustrates the formal theory with several examples, and the path for its implementation in more realistic wave and circulation models is envisioned.

This book is appealing to oceanic research scientists and mathematicians interested in geophysical fluid dynamics.


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