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Traveling vortex pairs for 2D incompressible Euler equations (2012.10918v1)
Published 20 Dec 2020 in math.AP
Abstract: In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of steady vortex pairs for the Euler equations with a general vorticity function, which constitutes a desingularization of a pair of point vortices with equal magnitude and opposite signs. The results are obtained by using an improved vorticity method.
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