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2. Traveling vortex pairs for 2D incompressible Euler equations

Author

Daomin Cao, Shanfa Lai, and Weicheng Zhan

Subjects
Plane (geometry), Applied Mathematics, Mathematical analysis, Function (mathematics), Vorticity, Vortex, Euler equations, Physics::Fluid Dynamics, symbols.namesake, Mathematics - Analysis of PDEs, Condensed Matter::Superconductivity, FOS: Mathematics, symbols, Computer Science::Symbolic Computation, Point (geometry), Incompressible euler equations, Analysis, Analysis of PDEs (math.AP), Mathematics
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 traveling vortex pairs for the Euler equations with a general vorticity function, which constitutes a desingularization of a pair of point vortices with equal intensities but opposite signs. The results are obtained by using an improved vorticity method.

Published
2021
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