论文标题
球体上的地球物理和斯图尔特涡流符合差异几何形状
Geophysics and Stuart vortices on a sphere meet differential geometry
论文作者
论文摘要
我们证明了与$δ__{s^2} u = c-he^{u} $的非线性椭圆pde相关的新存在标准，该标准在二维球体上$ s^2 $，在参数ymemeter engime $ 2 \ leq c <4 $中。我们应用此结果，以及$ C <2 $时有效的几个先前已知的结果，以讨论特定PDE建模海面电流的解决方案的存在。
We prove new existence criteria relevant for the non-linear elliptic PDE of the form $Δ_{S^2} u=C-he^{u}$, considered on a two dimensional sphere $S^2$, in the parameter regime $2\leq C<4$. We apply this result, as well as several previously known results valid when $C<2$, to discuss existence of solutions of a particular PDE modelling ocean surface currents.
