Geophysical flow;
Elliptic equation;
Maximum principle;
PURELY AZIMUTHAL FLOW;
STEADY;
D O I:
10.1007/s00605-017-1147-6
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
A recent model for the flow of the Antarctic Circumpolar Current, formulated in spherical coordinates as a Dirichlet boundary-value problem for a nonlinear elliptic partial differential equation, reduces for flows with no azimuthal variations to a two-point boundary-value problem for a second-order ordinary differential equation. We provide some general settings for which these apparently simpler solutions are the unique solutions, due to an inherent symmetry of the model.