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SUMMARY:From Instability to Singularity Formation in Incompressible Fluids
DTSTART:20231124T141500
DTSTAMP:20260404T112351Z
UID:b0816464dd1d8852e631e14c12fc045cec3348a83da7f4f867859e2d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Federico Pasqualotto (UC - Berkeley)\n\nAbstract:\n\n \
 n\nIn this talk\, I will describe a new mechanism for singularity formatio
 n in the 2d Boussinesq system and in the 3d incompressible Euler equations
 . In the Boussinesq case\, the singularity mechanism arises as a second or
 der effect on the classical Rayleigh–Bénard instability\, and the initi
 al data we choose is smooth except at one point\, where it has Hölder con
 tinuous first derivatives. In addition\, the solution is smooth in the ang
 ular variable at the blow-up point\, which was a fundamental obstruction i
 n previous works. I will finally describe how these considerations transla
 te to a singularity formation scenario for the 3d incompressible Euler equ
 ations\, based on the Taylor–Couette instability. This is joint work wit
 h Tarek Elgindi (Duke University).\n\n\n \n\n 
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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