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Differential Equations Seminar

Uniqueness of the 2D incompressible Euler equation on corner domains
Thursday, October 15, 2020
4:00-5:00 PM 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.

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Meeting ID: 919 5171 2685
Speaker(s): Siddhant Agrawal (UMASS, Amherst)
Building: Off Campus Location
Location: Off Campus Location
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics