Calculus of Variations and Geometric Measure Theory

A. Choffrut - C. De Lellis - L. J. László Jr Székelyhidi

Dissipative continuous Euler flows in two and three dimensions

created by delellis on 02 Jul 2013



Inserted: 2 jul 2013
Last Updated: 2 jul 2013

Year: 2012


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.