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arXiv · 2402.09566

Restoring the Navier--Stokes dynamics by determining functionals depending on pressure

A. Ilyin·V. Kalantarov·A. Kostianko·S. Zelik
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Abstract

For 2D Navier--Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of $N$ linear continuous functionals which depend on pressure $p$ only and of one extra functional which is given by the value of vorticity at a fixed point $x_0\in\partial\Omega$.

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A. Ilyin, V. Kalantarov, A. Kostianko, S. Zelik. 2024-02-14. Restoring the Navier--Stokes dynamics by determining functionals depending on pressure. https://arxiv.org/abs/2402.09566

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