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Learning Seminar on PDE and Applications

A Liouville Theorem for the Euler Equations in the Plane. II

Jeaheang, Rutgers University

Location:  https://rutgers.webex.com/rutgers/j.php?MTID=m3cd0c939b5693503d0bdf1aa9410b8a6
Date & time: Tuesday, 28 July 2020 at 1:40PM - 3:40PM

Abstract: In these two expository talks, I will talk about the paper by Hamel and Nadirashvili in 2019. They proved that any bounded solution to the stationary Euler Equations in the plane is necessarily a shear flow provided that the solution does not have stagnation points (not even at infinity). The proof is twofold. First, they studied the geometrical properties of the streamlines and of the gradient flows - first talk. Second, they derived some logarithmic estimates on the argument of the flow in large balls - second talk.

 

This talk will be held virtually on WebEx, copy and paste the following web address: