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arXiv · 2602.15670

Quantitative enstrophy bounds for measure vorticities

Luigi De Rosa·Margherita Marcotullio
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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.

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Luigi De Rosa, Margherita Marcotullio. 2026-02-17. Quantitative enstrophy bounds for measure vorticities. https://arxiv.org/abs/2602.15670

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