Thursday, October 15, 2020

4:00-5:00 PM

https://umich.zoom.us/j/91951712685
Off Campus Location

We consider the 2D incompressible Euler equation on a corner domain with an angle between \pi/2 and \pi. In this setup, the uniqueness of solutions in the Yudovich class is not known in general due to the fact that the velocity is very far from being Lipschitz. In this work we prove that if the initial vorticity is non-negative and supported on one side of the angle bisector of the domain, then solutions in the Yudovich class are unique. This is the first result which proves uniqueness when the velocity is far from Lipschitz and the initial vorticity is nontrivial around the boundary. This is joint work with Andrea Nahmod.

Join Zoom Meeting

https://umich.zoom.us/j/91951712685

Meeting ID: 919 5171 2685

Speaker(s): Siddhant Agrawal (UMASS, Amherst)

Join Zoom Meeting

https://umich.zoom.us/j/91951712685

Meeting ID: 919 5171 2685

Speaker(s): Siddhant Agrawal (UMASS, Amherst)

Building: | Off Campus Location |
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Location: | Off Campus Location |

Event Type: | Workshop / Seminar |

Tags: | Mathematics |

Source: | Happening @ Michigan from Department of Mathematics |