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Vikas Krishnamurthy (University of Vienna)
Thursday 12 September 2019, 15:00-15:30
Steady point vortices in a field of Stuart-type vorticity
- đ¤ Speaker: Vikas Krishnamurthy (University of Vienna)
- đ Date & Time: Thursday 12 September 2019, 15:00 - 15:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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