preprint · arXiv (Cornell University) · 2026
Quantitative enstrophy bounds for measure vorticities
Luigi De Rosa, Margherita Marcotullio
Cited by 0Open access
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 this paper
De Rosa, L., & Marcotullio, M. (2026). Quantitative enstrophy bounds for measure vorticities. arXiv (Cornell University). https://doi.org/10.48550/arxiv.2602.15670
De Rosa, Luigi, and Margherita Marcotullio. “Quantitative enstrophy bounds for measure vorticities.” arXiv (Cornell University), 2026, https://doi.org/10.48550/arxiv.2602.15670.
De Rosa, Luigi, and Margherita Marcotullio. 2026. “Quantitative enstrophy bounds for measure vorticities.” arXiv (Cornell University). https://doi.org/10.48550/arxiv.2602.15670.
De Rosa, L. and Marcotullio, M. (2026) ‘Quantitative enstrophy bounds for measure vorticities’, arXiv (Cornell University). Available at: https://doi.org/10.48550/arxiv.2602.15670.
@misc{derosa2026quantitative,
title = {{Quantitative enstrophy bounds for measure vorticities}},
author = {De Rosa, Luigi and Marcotullio, Margherita},
journal = {arXiv (Cornell University)},
year = {2026},
doi = {10.48550/arxiv.2602.15670}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.