In an effort to explain how anomalous dissipation of energy occurs in hydrodynamic turbulence, Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations may fail to exhibit conservation of energy if their spatial regularity is below 1/3-Hölder. I will discuss a proof

# Joint Princeton Rutgers Geometric PDEs Seminar

April 18, 2017

1:40pm - 2:40pm

##### A Proof of Onsager’s Conjecture for the Incompressible Euler Equations

Location

Rutgers - Hill Center, Room 705

Speaker: Philip Isett,

MIT

MIT

April 18, 2017

3:00pm - 4:00pm

##### Some existence and non-existence results for Poincare-Einstein metrics

I will begin with a brief overview of the existence question for conformally compact Einstein manifolds with prescribed conformal infinity. After stating the seminal result of Graham-Lee, I will discuss a non-existence result (joint with Qing Han) for certain conformal classes on the 7-dimensio

Location

Rutgers - Hill Center, Room 705

Speaker: Matthew Gursky,

University of Notre Dame

University of Notre Dame