<P> f (D + h) v − F cos ⁡ (π y b) − R u − g (D + h) ∂ h ∂ x = 0 (1) (\ displaystyle f (D + h) v-F \ cos \ left ((\ frac (\ pi y) (b)) \ right) - Ru - g (D + h) (\ frac (\ partial h) (\ partial x)) = 0 \ qquad (1)) </P> <P> − f (D + h) u − R v − g (D + h) ∂ h ∂ y = 0 (2) (\ displaystyle \ quad - f (D + h) u-Rv - g (D + h) (\ frac (\ partial h) (\ partial y)) = 0 \ qquad \ qquad (2)) </P> <P> ∂ ((D + h) u) ∂ x + ∂ ((D + h) v) ∂ y = 0 (3) (\ displaystyle \ qquad \ qquad (\ frac (\ partial ((D + h) u)) (\ partial x)) + (\ frac (\ partial ((D + h) v)) (\ partial y)) = 0 \ qquad \ qquad \ qquad (3)) </P> <P> Here f (\ displaystyle f) is the strength of the Coriolis force, R (\ displaystyle R) is the bottom - friction coeffecient, g (\ displaystyle g \, \,) is gravity, and − F cos ⁡ (π y b) (\ displaystyle - F \ cos \ left ((\ frac (\ pi y) (b)) \ right)) is the wind forcing . The wind is blowing towards the west at y = 0 (\ displaystyle y = 0) and towards the east at y = b (\ displaystyle y = b). </P>

As a rule warm currents are found off the west coasts of major continents