Sharp Basic Velocity Estimates for the Plane Steady Navier--Stokes Equations through Vorticity
Year: 2026
Type: preprint
Abstract: We consider some new velocity estimates for general steady Navier-Stokes solutions in plane domains. Namely, we obtain some optimal estimates of the difference between mean values of the velocity over two concentric circles in terms of the $L^2$-norm of the vorticity in the annulus between the circles. The sharpness of the estimates is demonstrated by some unexpected counterexamples.
Source: arXiv (Cornell University)
Authors: Korobkov, Mikhail, Zhuang, Zhixiang
Institution: Fudan University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214618847