Interaction between Kirchhoff vortices and point vortices in an ideal fluid |
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Authors: | A. V. Borisov I. S. Mamaev |
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Affiliation: | (1) Institute of Computer Science, Udmurt State University, Universitetskaya ul. 1, 426034 Izhevsk, Russia |
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Abstract: | We consider the interaction of two vortex patches (elliptic Kirchhoff vortices) which move in an unbounded volume of an ideal incompressible fluid. A moment second-order model is used to describe the interaction. The case of integrability of a Kirchhoff vortex and a point vortex by the variable separation method is qualitatively analyzed. A new case of integrability of two Kirchhoff vortices is found. A reduced form of equations for two Kirchhoff vortices is proposed and used to analyze their regular and chaotic behavior. |
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Keywords: | 37N05 76M23 |
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