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

2024/02/14 by Ilyin, A., Kalantarov, V., Kostianko, A. +1
#35B40 #35B42 #37D10 #37L25 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.09566

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 x₀∈∂Ω.

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