The Dimension of an Attractor Generated by Equations of 2D Viscous Noncompressible Liquid Dynamics on a Revolving Sphere

摘要

Let us write the equation describing the dynamics of a two-dimensional viscous noncompressible liquid on a revolving sphere as follows: ω/t+J(Ψ,ω+l)=μ△ω+f where co = △Ψ,Ψ is the current function (here to is the vorticity); / is the Coriolis parameter (here l=2Ωsinψ, Ω is the angular velocity of the Earth's revolution, ψ is the latitude).