Quasi-linear Theory for Surface Wave-Current Interactions

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