activity
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

collaborators
Showing math.SPShow all

3 papers · 1 filter

math.SP2023

Magnetic Lieb--Thirring inequalities on the torus

Alexei Ilyin, Ari Laptev

In this paper we prove Lieb--Thirring inequalities for magnetic Schrödinger operators on the torus, where the constants in the inequalities depend on the magnetic flux.

math.SP2017

Berezin--Li--Yau inequalities on domains on the sphere

Alexei Ilyin, Ari Laptev

We prove Berezin--Li--Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sphere . The case of is treated in greater det…

math.SP2011

Lieb-Thirring inequalities on some manifolds

Alexei A. Ilyin

We prove Lieb-Thirring inequalities with improved constants on the two-dimensional sphere and the two-dimensional torus. In the one-dimensional periodic case we obtain a simultaneo…