Question

Kelvin waves The linearized shallow-water equations for a fluid of constant depth Ho on a f-plane (f-const.) are dr) ot dv ot Эт Assume that there is a continent in the half-plane x20 (that is, the y-axis of the coordinate system is a lateral boundary). Find a wave solution with -0 everywhere (that automatically fulfills the condition of no flow through the boundary. Try a solution of the form n(x,yt) F(x)explily-or) You have to determine the function Fix) and the dispersion relationship for o. Make sure that the result makes physical sense: That is, the amplitude of the wave cannot go to infinity away from the boundary. Can the wave travel in any direction?

Answer 1

even that . Cons ent け dt Jt

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