Restoring the Navier--Stokes dynamics by determining functionals depending on pressure
Analysis of PDEs
2024-02-16 v1
Abstract
For 2D Navier--Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of linear continuous functionals which depend on pressure only and of one extra functional which is given by the value of vorticity at a fixed point .
Cite
@article{arxiv.2402.09566,
title = {Restoring the Navier--Stokes dynamics by determining functionals depending on pressure},
author = {A. Ilyin and V. Kalantarov and A. Kostianko and S. Zelik},
journal= {arXiv preprint arXiv:2402.09566},
year = {2024}
}