1. 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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