Year: 2016
Type: article
Abstract: We consider the Lieb-Thirring inequalities on the d-dimensional torus with arbitrary periods. In the space of functions with zero average with respect to the shortest coordinate we prove the Lieb-Thirring inequalities for the $γ$-moments of the negative eigenvalues with constants independent of ratio of the periods. Applications to the attractors of the damped Navier-Stokes system are given.
Source: Sbornik Mathematics
DOI: 10.1070/sm8641
Authors: A. A. Ilyin, A. A. Laptev
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Russian Science Foundation
Award: G3738608409
OpenAlex ID: W2254211591