Traveling vortex pairs for 2D incompressible Euler equations

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.

References in corpus (2)

• Desingularization of vortices for 2D steady Euler flows via the vorticity method
• Stability of Lamb dipoles

Cited by in corpus (2)

• Existence and regularity of co-rotating and travelling global solutions for the generalized SQG equation
• Existence of co-rotating and travelling vortex patches with doubly connected components for active scalar equations