Non-uniqueness and energy dissipation for 2D Euler equations with vorticity in Hardy spaces

2023/06/09 by Buck, Miriam, Modena, Stefano · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.05948

Abstract

We construct by convex integration examples of energy dissipating solutions to the 2D Euler equations on ℝ² with vorticity in the real Hardy space H^p(ℝ²), for any 2/3

Cited by

• Pathological solutions of Navier-Stokes equations on \mathbbT² with gradients in Hardy spaces
• Dissipation concentration in two-dimensional fluids
• Admissible solutions of the 2D Onsager's conjecture

Related

• Compactly supported anomalous weak solutions for 2D Euler equations with vorticity in Hardy spaces
• Unbounded Yudovich Solutions of the Euler Equations
• Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner
• Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space
• Uniqueness for 2D Euler and transport equations via extrapolation