An Operator Model of the Benard Problem and Its Spectral Analysis
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, and it is proved that the system of eigenvalues and associated vectors form the Riesz basis with parentheses.
Authors
- Н. Н. Нефедов (ORCID: https://orcid.org/0000-0002-3651-6434)
- G. A. Agafonkin
- I. A. Sheipak
Institutions
- Lomonosov Moscow State University (RU)
- Moscow Center For Continuous Mathematical Education (RU)
- Moscow State University (TJ)
Publication Details
- Journal
- Moscow University Mathematics Bulletin
- Published
- 2025-04-01
- DOI
- https://doi.org/10.3103/s0027132225020019
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00