Seminar

In this talk, I will introduce the $\mathcal{M}$-restricted Euler and hypodissipative Navier--Stokes equations. These equations are analogous to the Euler equation and hypodissipative Navier--Stokes equation, respectively, but with the Helmholtz projection replaced by a projection onto a more restrictive constraint space, and these equations exhibit finite-time blowup (when the dissipation is weak enough in the later case). The finite time-blowup argument makes use of a permutation symmetric Ansatz that allows for a dyadic energy cascade of the type found in the Friedlander-Katz-Pavlovi\'{c} dyadic Euler/Navier--Stokes model equation.

Meeting ID: 998 5718 9855

Passcode: 983468

Link: https://msri.zoom.us/j/99857189855?pwd=LzRFR2tPN1cydWJNZEZkclZGV2lpQT09

Finite-Time Blowup for an Euler and Hypodissipative Navier--Stokes Model Equation on a Restricted Constraint Space 463 KB application/pdf

FD2 Reunion Seminar: Finite-Time Blowup For An Euler And Hypodissipative Navier--Stokes Model Equation On A Restricted Constraint Space