We present a new family of exact solutions to the planar steady incompressible Euler equation. The solutions comprise of a point vortex pair of equal circulation embedded in a smooth sea of non-zero vorticity of 'Stuart-type'. The solution is one of the simplest examples of a rich and diverse array of similar global equilibria of the Euler equation which are currently being identified. Examining limiting values of these new Stuart-type point vortex equilibria results in a novel family of smoothly deformable asymmetric point vortex equilibria in an otherwise irrotational flow.
Vikas Krishnamurthy (Erwin Schrodinger Institute, Vienna)
Date & Time
Thu, 23 May 2019, 15:00 to 16:00
Emmy Noether Seminar Room, ICTS Campus, Bangalore