Alexei Ilyin

activity

20142024

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math.AP2024

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

A. Ilyin, V. Kalantarov, A. Kostianko +1

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 pre…

math.AP2021

Trajectory attractors for 3D damped Euler equations and their approximation

Alexei Ilyin, Anna Kostianko, Sergey Zelik

We study the global attractors for the damped 3D Euler--Bardina equations with the regularization parameter $α > 0$ and Ekman damping coefficient $γ > 0$ endowed with periodic boundary…

math.AP2014

Sharp interpolation inequalities for discrete operators and applications

Alexei Ilyin, Ari Laptev, Sergey Zelik

We consider interpolation inequalities for imbeddings of the $l^{2}$ -sequence spaces over $d$ -dimensional lattices into the $l_{0}^{\infty}$ spaces written as interpolation inequality be…