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20052023
most citedSharp estimates for the number of degrees of freedom for the damped-driven 2D Navier--Stokes equations

47 citations · 85 across the 21 of their papers we have counts for

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Showing 2021 · math.APShow all

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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 and Ekman damping coefficient endowed with periodic boundary…

math.AP2021

Dimension estimates for the attractor of the regularized damped Euler equations on the sphere

Alexei Ilyin, Anna Kostianko, Sergey Zelik

We prove existence of the global attractor of the damped and driven Euler--Bardina equations on the 2D sphere and on arbitrary domains on the sphere and give explicit estimates of…

math.AP2021★ 17 cited

Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations

Alexei Ilyin, Anna Kostianko, Sergey Zelik

The dependence of the fractal dimension of global attractors for the damped 3D Euler--Bardina equations on the regularization parameter and Ekman damping coefficient is…