Lieb-Thirring inequalities on the sphere
File(s)
Accepted version
Author(s)
Ilyin, A
Laptev, A
Type
Journal Article
Abstract
On the sphere $ \mathbb{S}^2$, the Lieb-Thirring inequalities are proved for orthonormal families of scalar and vector functions both on the whole sphere and on proper domains on $ \mathbb{S}^2$. By way of applications, an explicit estimate is found for the dimension of the attractor of the Navier-Stokes system on a domain on the sphere with Dirichlet nonslip boundary conditions.
Date Issued
2020-04-30
Date Acceptance
2020-04-01
Citation
St. Petersburg Mathematical Journal, 2020, 31 (3), pp.479-493
ISSN
0234-0852
Publisher
American Mathematical Society
Start Page
479
End Page
493
Journal / Book Title
St. Petersburg Mathematical Journal
Volume
31
Issue
3
Copyright Statement
© Copyright 2020 American Mathematical Society
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000531807300006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
Lieb-Thirring inequalities
spectral inequalities on the sphere
Navier-Stokes equations
attractors
NAVIER-STOKES EQUATIONS
SIMPLE PROOF
DIMENSION
DOMAINS
ATTRACTORS
EXPONENTS
Publication Status
Published
Date Publish Online
2020-04-30