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Steady point vortices in a field of Stuart-type vorticity

Presented by: 
Vikas Krishnamurthy
Thursday 12th September 2019 - 15:00 to 15:30
INI Seminar Room 1
A new family of exact solutions to the two-dimensional steady incompressible Euler equation is presented. The solutions comprise two point vortices of unit circulation – a point vortex pair – 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 identified by the authors. We also examine the point vortex limit of these new Stuart-embedded point vortex equilibria which results in a two-real-parameter family of smoothly deformable asymmetric point vortex equilibria in an otherwise irrotational flow.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons