絤ȳΤǽפʤȤ 2 : ž
Ū, ؤǰؤ
ºݤγΤǤ upwelling biology control Ƥ
2 texture Ϥɤʤ? ȿ֤ǤΥڥȥ?
ʪ̤ˤä texture ۤʤ.
ϥݥƥ
\Phi = - GM/r - 1/2 \Omega r^2
ϾήĴ ͳѤȢǺⲹ, 㲹ȤʤäƤͤ.
\rho forced oscillation ͿȤͤ??? ư f
ǸϲХ
β Ri = 1/2 1/4 礭.
u ͤ,
f |u|^2 _z = g (\rho_t + w \rho_z -Q)
Ȥʤä, spiral velocity ʬۤդ 3 Ĥι Х (ᥫ˥Ȥ 3 Ĥ. üʥ 3 Ĥ).
Kelvin's Problem 1 Ȥͤ. : Ѱ̤ (x) = (x)
(x) = \frac{1}{2 \pi} \int^{\infty}_{\infty} \exp[ ikx - \omega t] dk
Ƚ. , \omega = f(k) : ʬط
x -> \infty, t -> \infty (with fixed x/t) ͤ.
k ȡˤȤ , stationary phase Τ \DP{\theta}{k}=0
x/t = d f(k) / dk = c_g
Ƴ.
, x, t ʿ̤, Cg ͤ˱Ȥ .
®Ȥ \DP{Cg}{k} =0 caustic
steady, radiation , forced waves forcing: F(x) e-{-i \omega_0 t} Ǥη
\int e^{ikx} \hat{F} / P(ik, -il) dk
ߤˤʤΤ, \hat{F} F ΥաꥨѴ, P ʬط Ϳ operator. , ʣʬ¹Ԥ
\DP{\omega_i}{k_i} < 0 ʤ radiation condition 餷.
, äѤ狼ä.