Nonuniqueness of weak solution of Navier-Stokes equations
Title: Nonuniqueness of weak solution of Navier-Stokes equations
Speaker: Dr. Tao Tao, Shandong University
Time: 2017.10.26 14:30-16:30
Abstract: In this talk, we discuss the recent work about construction of finite energy weak solution of Navier-Stokes equation with prescribed kinetic energy. As a direct result, we obtain the nonuniqueness of finite kinentic energy distribution solution to Navier-Stokes equation. Moreover, Holder continuous dissipative weak solution of the 3d Euler equations may be obtained as a strong vanishing viscosity limit of a sequence of finite energy weak solution of the 3d Navier-Stokes equations.