| Abstract: | The two-dimensional flow of an ideal incompressible fluid is considered. Within an ellipse, the flow has a constant vorticity, while outside the ellipse there is an irrotational flow with circulation. Such motion can be described by Lagrange equations for a dynamical system with an infinite number of degrees of freedom. For a system with four degrees of freedom a new steady solution is obtained and its stability investigated.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 55–60, July–August, 1983.We thank L. I. Sedov for his interest in the work. |
