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Dynamical Systems and PDEs
November 25, 2020 18:00, (this is Moscow time, CET=16:00), zoom identificator 959 5609 0493, password 515360
 


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

Sergey Denisov

University of Wisconsin-Madison
Video records:
MP4 270.2 Mb
Materials:
Adobe PDF 514.1 Kb

Number of views:
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Video files:21


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Abstract: 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 discuss existence of the curve of smooth stationary solutions that originates at singular stationary steady state.

Materials: Denisov 25.11.2020.pdf (514.1 Kb)

Language: English

Website: https://zoom.us/j/95956090493?pwd=NTVnZ3ZxNkZzcFRybDBSK1NLaTQ3QT09

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