On the Spectrum of the Stokes Operator

A. A. Ilyin

Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 4, pp. 14-25.

Résumé

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.

Détail

Keywords: Stokes operator, Navier–Stokes equations, attractor dimension, Lieb–Thirring inequalities.

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