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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 2022 · math.APShow all

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math.AP2022

On a class of interpolation inequalities on the 2D sphere

Alexei Ilyin, Sergey Zelik

We prove estimates for the -norms of systems of functions and divergence free vector functions that are orthonormal in the Sobolev space on the 2D sphere. As a corollary…

math.AP2022

Applications of the Lieb--Thirring and other bounds for orthonormal systems in mathematical hydrodynamics

Alexei Ilyin, Anna Kostianko, Sergey Zelik

We discuss the estimates for the -norms of systems of functions that are orthonormal in and , respectively, and their essential role in deriving good or even optima…