Key points are not available for this paper at this time.
In a previous work (arXiv: 2306. 05948), we constructed by convex integration examples of energy dissipating solutions to the 2D Euler equations on R² with vorticity in the real Hardy space Hᵖ (R²). In the present paper, we develop tools that significantly improve that result in two ways: Firstly, we achieve vorticities in Hᵖ (R²) in the optimal range p (0, 1) compared to (2/3, 1) in our previous work. Secondly, the solutions constructed here possess compact support and in particular preserve linear and angular momenta.
Buck et al. (Wed,) studied this question.