We will study 2d Euler dynamics of centrally symmetric pair of patches on the plane. In the presence of exterior regular velocity, we will show that these patches can merge so fast that the distance between them allows double-exponential upper bound which is known to be sharp. The formation of the 90 degree corners on the interface and the self-similarity analysis of this process will be discussed. For a model equation, we will prove existence of the curve of smooth stationary solutions that originates at singular stationary steady state.

# Analysis of Fluids and Related Topics

Organizer(s):

For more information on this seminar, please contact Mihaela Ignatova, Javier Gomez-Serrano, Fabio Pusateri, Vlad Vicol, Peter Constantin, Huy Nguyen, or Theodore Drivas.

There is no seminar on November 9.

**Please click on seminar title for complete abstract.**

November 30, 2017

4:30pm - 5:30pm

##### Singularity formation in the contour dynamics for 2d Euler equation on the plane.

Location

Fine Hall 322

Speaker: Serguei Denissov,

University of Wisconsin

University of Wisconsin

December 7, 2017

4:30pm - 5:30pm

##### TBA-Gautam Iyer

Location

Fine Hall 322

Speaker: Gautam Iyer,

Carnegie Mellon University

Carnegie Mellon University