BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Mechanisms for energy conservation in Onsager supercritical fluids
  - Roman Shvydkoy (University of Illinois at Chicago)
DTSTART:20220214T111500Z
DTEND:20220214T121500Z
UID:TALK167369@talks.cam.ac.uk
DESCRIPTION:When the regularity of a solution to the Euler and Navier-Stok
 es equation is higher than 1/3 (in a certain Besov sense)\, then the solut
 ion is known to conserve energy.&nbsp\; This threshold is also dimension-i
 ndependent. At the same time for 3D Euler&nbsp\; the convex integration me
 thod provided examples of solutions in regularity 1/3 - epsilon that do no
 t conserve energy (P. Isett\, 2016).&nbsp\; Finding examples that belong t
 o the critical regularity class 1/3 constitutes what is called the Onsager
  conjecture.&nbsp\; In this talk we will highlight several special mechani
 sms that allow to prove energy conservation for incompressible fluids that
  fall under the Onsager threshold. In particular\, this provides a list of
  scenarios one would like to avoid when attempting to construct critical e
 nergy-dissipative examples.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR