# Dissipative continuous Euler flows in two and three dimensions

created by delellis on 02 Jul 2013

[BibTeX]

Preprint

Inserted: 2 jul 2013
Last Updated: 2 jul 2013

Year: 2012

Abstract:

In [1] the authors construct dissipative continuous (weak) solutions to the incompressible Euler equations on the three-dimensional torus $\mathbb T^3$. The building blocks in their proof are Beltrami flows, which are inherently three-dimensional. The purpose of this note is to show that the techniques can nevertheless be adapted to the two-dimensional case.