Hydrodynamic Coherence and Vortex Solutions of the Euler–Helmholtz Equation


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Abstract

The form of the general solution of the steady-state Euler–Helmholtz equation (reducible to the Joyce–Montgomery one) in arbitrary domains on the plane is considered. This equation describes the dynamics of vortex hydrodynamic structures.

About the authors

N. N. Fimin

Keldysh Institute of Applied Mathematics

Author for correspondence.
Email: oberon@kiam.ru
Russian Federation, Moscow, 125047

V. M. Chechetkin

Keldysh Institute of Applied Mathematics

Email: oberon@kiam.ru
Russian Federation, Moscow, 125047

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