Enstrophy dynamics for flow past a solid body with no-slip boundary condition
Analysis of PDEs
2026-05-14 v1 Mathematical Physics
math.MP
Abstract
In the paper we study the impact of the boundary vorticity distribution on the dynamics of enstrophy for flows around streamlined body. A new energy identity is derived in the article, which includes the boundary values of the vortex function. For the Stokes system the dissipativity of enstrophy is proved. For the Navier-Stokes system a new equation of the enstrophy dynamics is obtained.
Cite
@article{arxiv.2506.15317,
title = {Enstrophy dynamics for flow past a solid body with no-slip boundary condition},
author = {Aleksei Gorshkov},
journal= {arXiv preprint arXiv:2506.15317},
year = {2026}
}