The influence of along-shore localized coastal flows over the bottom slope upon long forced waves

Here, d and £2 are elevations of the free surface and the boundaries of the fluid layer interface; Uk and Vk are the vector velocity components of the horizontal wave flow in the upper (k = 1) and lower {k — 2) layers; (po is the latitude of the channel's axis; R and UJ are the radius and the angular velocity of the Earth 's rotation, respectively; g is the gravity acceleration; the #-axis is directed along the channel's axis, and the y-axis is perpendicular to it; the prime indicates the derivative by the y-axis.