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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Mechanisms for energy conservation in Onsager supercritical fluids

## Mechanisms for energy conservation in Onsager supercritical fluidsAdd to your list(s) Download to your calendar using vCal - Roman Shvydkoy (University of Illinois at Chicago)
- Monday 14 February 2022, 11:15-12:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. TURW02 - Rigorous analysis of incompressible fluid models and turbulence When the regularity of a solution to the Euler and Navier-Stokes equation is higher than 1/3 (in a certain Besov sense), then the solution is known to conserve energy. This threshold is also dimension-independent. At the same time for 3D Euler the convex integration method provided examples of solutions in regularity 1/3 – epsilon that do not conserve energy (P. Isett, 2016). Finding examples that belong to the critical regularity class 1/3 constitutes what is called the Onsager conjecture. In this talk we will highlight several special mechanisms 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 energy-dissipative examples. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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