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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive
Keldysh Institute preprints, 2016 135, 20 pp. (Mi ipmp2209)
Vortex solutions of Euler equation and its properties

N. N. Fimin, V. M. Chechetkin


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.

DOI: 10.20948/prepr-2016-135


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