Evan Miller

In this talk, I will introduce the restricted Euler and hypodissipative Navier-Stokes equations. These equations are analogous to the Euler and hypodissipative Navier-Stokes equations, respectively, but with the Helmholtz projection replaced by a...

I will discuss several geometric constraints of the finite-time blowup of smooth solutions of the Navier-Stokes equation in the regularity criteria related to the eigenvalue structure of the strain matrix and to the vorticity direction. These...

The regularity problem for the Navier-Stokes equation is one of the biggest open problems in nonlinear PDE. In this talk, I will use the evolution equations for the strain and vorticity to derive an identity for enstrophy growth that depends only on...