Analysis of Fluids and Related Topics

Organizer(s): 

For more information on this seminar, please contact Mihaela Ignatova, Javier Gomez-SerranoFabio Pusateri, Vlad VicolPeter 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.

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.

Location
Fine Hall 322
Speaker: Serguei Denissov,
University of Wisconsin
December 7, 2017
4:30pm - 5:30pm
TBA-Gautam Iyer
Location
Fine Hall 322
Speaker: Gautam Iyer,
Carnegie Mellon University