The work and life of Ippolit Stepanovich Gromeka is reviewed. Gromeka authored a classical
set of eleven papers on fluid dynamics in just ten years before a tragic illness ended his life …

In this thesis, we study six different free boundary problems arising in the field of fluid
mechanics, and the mathematical methods used to solve them. The free boundary problems …

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 …

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 …