Year: 2026
Type: preprint
Abstract: We consider solutions to the two-dimensional Euler equations with a logarithmically regularized velocity given by $u=\nabla^{\perp}(-Δ)^{-1}\ln^{-γ}(|\nabla|+e)ω$ and initial vorticity in $\dot{H}^1 \cap \dot{H}^{-1}(\mathbb{R}^2)$. We show that if $γ>1/2$, then global well-posedness holds.
Source: arXiv (Cornell University)
Author: Radke, Zachary
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221757587