Joint Princeton Rutgers Geometric PDEs Seminar

April 18, 2017
1:40pm - 2:40pm
A Proof of Onsager’s Conjecture for the Incompressible Euler Equations

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

Location
Rutgers - Hill Center, Room 705
Speaker: Philip Isett,
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