Imperial College London
Professor Ari Laptev

ProfessorAriLaptev

Faculty of Natural Sciences, Department of Mathematics

Chair in Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8499a.laptev Website

 
 
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Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
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Location

 

680Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Ilyin:2020:spmj/1609,
author = {Ilyin, A and Laptev, A},
doi = {spmj/1609},
journal = {St. Petersburg Mathematical Journal},
pages = {479--493},
title = {Lieb-Thirring inequalities on the sphere},
url = {http://dx.doi.org/10.1090/spmj/1609},
volume = {31},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Ilyin,A
AU  - Laptev,A
DO  - spmj/1609
EP  - 493
PY  - 2020///
SN  - 0234-0852
SP  - 479
TI  - Lieb-Thirring inequalities on the sphere
T2  - St. Petersburg Mathematical Journal
UR  - http://dx.doi.org/10.1090/spmj/1609
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000531807300006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://www.ams.org/journals/spmj/2020-31-03/S1061-0022-2020-01609-9/
UR  - http://hdl.handle.net/10044/1/79618
VL  - 31
ER  -
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