This article is devoted to stationary solutions of Euler's equation on a rotating sphere, and to
their relevance to the dynamics of stratospheric flows in the atmosphere of the outer planets …

We study Onsager vortex clustered states in a shell-shaped superfluid containing a large
number of quantum vortices. In the incompressible limit and at low temperatures, the …

A nonlinear elliptic partial differential equation (pde) is obtained as a generalization of the
planar Euler equation to the surface of the sphere. A general solution of the pde is found and …

Vortex Streets on a Sphere - Alobaidi - 2011 - Journal of Applied Mathematics - Wiley Online
Library Skip to Article Content Skip to Article Information Wiley Online Library Wiley Online …

Analytical solutions of the steady Euler equations on a non-rotating sphere representing
stationary multipolar vortices with annular patches of uniform vorticity are constructed. The …

The vortex motion is a sign of the desire to achieve balance. In the study, vortices described
by complex numbers are moved from a sphere into a “squeezed” sphere–where the pair of …