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:2015:10.1070/SM8641,
author = {Ilyin, AA and Laptev, AA},
doi = {10.1070/SM8641},
journal = {Sbornik: Mathematics},
pages = {1410--1434},
title = {Lieb-Thirring inequalities on the torus},
url = {http://dx.doi.org/10.1070/SM8641},
volume = {207},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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 $\gamma$-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.
AU  - Ilyin,AA
AU  - Laptev,AA
DO  - 10.1070/SM8641
EP  - 1434
PY  - 2015///
SN  - 1064-5616
SP  - 1410
TI  - Lieb-Thirring inequalities on the torus
T2  - Sbornik: Mathematics
UR  - http://dx.doi.org/10.1070/SM8641
VL  - 207
ER  -
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