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Radial symmetry of stationary and uniformly-rotating solutions in 2D incompressible fluid equations

[Moved Online] Connections Workshop: Mathematical problems in fluid dynamics January 20, 2021 - January 22, 2021

January 22, 2021 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Yao Yao (Georgia Institute of Technology)
Location: SLMath: Online/Virtual
Tags/Keywords

  • 2D Euler

  • SQG

  • vortex patch

  • radial symmetry

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Radial Symmetry Of Stationary And Uniformly-Rotating Solutions In 2D Incompressible Fluid Equations
Abstract

In this talk, I will discuss some results on radial symmetry property for stationary and uniformly-rotating solutions for the 2D Euler and SQG equation, where we aim to answer the question whether every stationary/uniformly-rotating solution must be radially symmetric, if the vorticity is compactly supported. This is a joint work with Javier Gómez-Serrano, Jaemin Park and Jia Shi.
Supplements
Asset no preview Presentation Slides 2.94 MB application/pdf Download
Video/Audio Files

Radial Symmetry Of Stationary And Uniformly-Rotating Solutions In 2D Incompressible Fluid Equations

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