Quantitative enstrophy bounds for measure vorticities
Analysis of PDEs
2026-02-18 v1 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
We consider the two-dimensional incompressible Navier-Stokes equations with measure initial vorticity. By means of improved Nash inequalities, we establish quantitative estimates for the enstrophy depending on the absolute vorticity decay on balls. The bounds are optimal in several aspects and yield to a conjecturally sharp rate of the dissipation in the Delort's class.
Cite
@article{arxiv.2602.15670,
title = {Quantitative enstrophy bounds for measure vorticities},
author = {Luigi De Rosa and Margherita Marcotullio},
journal= {arXiv preprint arXiv:2602.15670},
year = {2026}
}
Comments
26 pages. Comments are welcome!