G. A. Agafonkin, N. N. Nefedov, I. A. Sheipak, “Operator model of the Benard problem and its spectral analysis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, Number 2,Pages <nobr>23

Mathematics

Operator model of the Benard problem and its spectral analysis

G. A. Agafonkin^ab, N. N. Nefedov^c, I. A. Sheipak^ab

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Moscow Center for Fundamental and Applied Mathematics
^c Lomonosov Moscow State University, Faculty of Physics

Abstract: 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.

Key words: Benard problem, operator model, asymptotics of eigenvalues, basic properties.

UDC: 517.984, 517.518.23

Received: 16.02.2024

DOI: 10.55959/MSU0579-9368-1-66-2-4