Marc-Etienne Brachet (LPS, ENS)

The incompressible Euler singularity problem

A central open question in classical fluid dynamics is whether the incompressible three-dimensional Euler equations with smooth initial conditions develop a singularity after a finite time. Recent results on this problem reported in [1] will be presented in the seminar.

[1] Miguel D. Bustamante and Marc Brachet, Interplay between the Beale-Kato-Majda theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem, Phys. Rev. E 86, 066302 (2012).