Abstract
The nonlinear stability of vortex zones of reverse flows in a plane-parallel ideal incompressible flow is proved. The zones originate at large values of a dimensionless parameter taken in the inflow part of the boundary, the so-called vorticity level. Positive or negative values of this parameter lead to a left- or right-hand oriented vortex, respectively.
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Original Russian Text © O.V. Troshkin, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 12, pp. 2092–2097.
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Troshkin, O.V. On the stability of reverse flow vortices. Comput. Math. and Math. Phys. 56, 2062–2067 (2016). https://doi.org/10.1134/S0965542516120149
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DOI: https://doi.org/10.1134/S0965542516120149