On the Spectrum of the Stokes Operator
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 4, pp. 14-25
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We prove Li–Yau type lower bounds for the eigenvalues of the Stokes operator and give applications to the attractors of the Navier–Stokes equations.
Keywords:
Stokes operator, Navier–Stokes equations, attractor dimension, Lieb–Thirring inequalities.
@article{FAA_2009_43_4_a2,
author = {A. A. Ilyin},
title = {On the {Spectrum} of the {Stokes} {Operator}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {14--25},
publisher = {mathdoc},
volume = {43},
number = {4},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2009_43_4_a2/}
}
A. A. Ilyin. On the Spectrum of the Stokes Operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 4, pp. 14-25. http://geodesic.mathdoc.fr/item/FAA_2009_43_4_a2/