arXiv:2012.10918 Abstract | arXiv Analytics

arXiv:2012.10918 [math.AP]Abstract References Reviews Resources

Traveling vortex pairs for 2D incompressible Euler equations

Published 2020-12-20Version 1

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.

Categories: math.AP

Keywords: 2d incompressible euler equations, traveling vortex pairs, two-dimensional incompressible euler equations, steady vortex pairs, general vorticity function

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