Western intensification
153
with q>0 and let φ = ψ − ψ 0 .
a. Show that the highest order balance at the western boundary reduces to
Rε
p−2q
φ λ φ λλy − φ λλλ − ψ
0
y
+ ε
1−q φ λλ + φ λ =0
where φ λ = ∂φ/∂λ, etc.
b. Provide the correct boundary conditions for the function φ.
c. Determine all possible balances in the western boundary layer depending
on (p, q) and sketch the different cases in the (p, q)-plane.
d. Argue why the nonlinear correction to the Stommel solution has no northsouth symmetry.
153
with q>0 and let φ = ψ − ψ 0 .
a. Show that the highest order balance at the western boundary reduces to
Rε
p−2q
φ λ φ λλy − φ λλλ − ψ
0
y
+ ε
1−q φ λλ + φ λ =0
where φ λ = ∂φ/∂λ, etc.
b. Provide the correct boundary conditions for the function φ.
c. Determine all possible balances in the western boundary layer depending
on (p, q) and sketch the different cases in the (p, q)-plane.
d. Argue why the nonlinear correction to the Stommel solution has no northsouth symmetry.