Vortex solutions of Euler equation and its properties

Fimin N. N.; Chechetkin V. M.

Abstract:

We consider existence and form of general solution of steady-state Euler-Helmholtz equation. This equation transforms to Joyce-Montgomery equation for analysis of vortex hydrodynamic structures.

Keywords:

Onsager vortices, Rankine vortices, statistical integral, conformal mapping, Joyce-Montgomery equation

Publication language: russian, pages: 20

Research direction:

Mathematical problems and theory of numerical methods

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About authors:

Fimin Nikolay Nikolaevich, , ,

Chechetkin Valery Mihailovich, , ,