Operator model of the Benard problem and its spectral analysis
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 23-29

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An operator model of the Benard problem is constructed and spectral analysis of the resulting operator is performed. The asymptotics of the eigenvalues is obtained, it is proved that the system of eigenvalues and attached vectors form the Riesz basis with parentheses.
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G. A. Agafonkin; N. N. Nefedov; I. A. Sheipak. Operator model of the Benard problem and its spectral analysis. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 23-29. http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a3/