208
DYNAMICAL OCEANOGRAPHY
x
Φ
1
0
t = 0
x
v = -
1
0
t = 0
Φ x
(a)
x
Φ
1
0
t = 1/4
x
v = -
1
0
Φ x
-1/4
3/4
t = 1/4
3/4
-1
(b)
x
Φ
1
0
t = 1
x
v = -
1
0
Φ x
-1
t = 1
-1
(c)
Figure 9.4. Time development of the solution Φ in (9.46) for ˜
Λ=1. (a) t =0, (b) t = 1/4 and (c)
t=1.
DYNAMICAL OCEANOGRAPHY
x
Φ
1
0
t = 0
x
v = -
1
0
t = 0
Φ x
(a)
x
Φ
1
0
t = 1/4
x
v = -
1
0
Φ x
-1/4
3/4
t = 1/4
3/4
-1
(b)
x
Φ
1
0
t = 1
x
v = -
1
0
Φ x
-1
t = 1
-1
(c)
Figure 9.4. Time development of the solution Φ in (9.46) for ˜
Λ=1. (a) t =0, (b) t = 1/4 and (c)
t=1.