Nonuniqueness of weak solutions to the Navier-Stokes equation

Analysis Seminar
Topic:Nonuniqueness of weak solutions to the Navier-Stokes equation
Speaker:Tristan Buckmaster
Affiliation:Princeton University
Date:Wednesday, November 29
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/analysis/2017/1129-TristanBuckmaster

For initial datum of finite kinetic energy Leray has proven in 1934 that there exists at least one global in time finite energy weak solution of the 3D Navier-Stokes equations. In this talk, I will discuss very recent joint work with Vlad Vicol in which we prove that weak solutions of the 3D Navier-Stokes equations are not unique in the class of weak solutions with finite kinetic energy.