Dissipative continuous Euler flows in two and three dimensions

2012/05/06 by Choffrut, Antoine, De Lellis, Camillo, Székelyhidi, László · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1205.1226

Abstract

Recently, two of these authors construct dissipative continuous (weak) solutions to the incompressible Euler equations on the three-dimensional torus \mathbb T³. 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.

Cited by

• Admissible solutions of the 2D Onsager's conjecture

Related

• Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time
• Nonuniqueness and existence of continuous, globally dissipative Euler flows
• Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations
• Transporting microstructure and dissipative Euler flows
• Dissipative Euler flows with Onsager-critical spatial regularity