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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

2020, Volume 495


MATHEMATICS
Orthogonal elements in nonseparable rearrangement invariant spaces
S. V. Astashkin, E. M. Semenov
5
Interpolation of spaces of functions of positive smoothness on a domain
O. V. Besov
8
Exact solutions of incompressible Navier–Stokes equations in the case of oil and gas industrial problems
V. B. Betelin, V. A. Galkin, A. O. Dubovik
13
Densities of distributions of homogeneous functions of Gaussian random vectors
V. I. Bogachev, E. D. Kosov, S. N. Popova
17
The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation
V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov
22
On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point
A. V. Borisov, P. E. Ryabov, S. V. Sokolov
26
Minimum clique-free subgraphs of Kneser graphs
S. V. Vakhrushev, M. E. Zhukovskii, S. G. Kiselev, A. Skorkin
31
One problem of extremal functional interpolation and the Favard constants
Yu. S. Volkov
34
On moment methods in Krylov subspaces
V. P. Il'in
38
Stability analysis of artificial ice islands by methods of mathematical modeling
I. B. Petrov, M. V. Muratov, F. I. Sergeev
44
On the finiteness of the number of expansions into a continued fraction of $\sqrt f$ for cubic polynomials over algebraic number fields
V. P. Platonov, M. M. Petrunin
48
Concentrations problem for solutions to compressible Navier–Stokes equations
P. I. Plotnikov
55
Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case
A. V. Podolskii, T. A. Shaposhnikova
59
On implementation of boolean functions by contact circuits with a constant uniform width
K. A. Popkov
65
Mathematical modeling of vibrational combustion
E. V. Radkevich, N. N. Yakovlev, O. A. Vasil'eva
69
On dividing sets into parts of smaller diameter
A. M. Raigorodskii
74
On the period length of a functional continued fraction over a number field
G. V. Fedorov
78
New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds
M. V. Shamolin
84
Quantization of integrable systems with spectral parameter on a Riemann surface
O. K. Sheinman
91

INFORMATICS
Noise-immune communication with orthogonal frequency division multiplexing using Kravchenko weight function processing
V. F. Kravchenko, L. E. Nazarov, V. I. Pustovoĭt
95

CONTROL PROCESSES
Estimation of the growth of the degree of nonconvexity of reachable sets in terms of $\alpha$-sets
V. N. Ushakov, A. A. Ershov
100
The problem of trajectories avoiding a sparse terminal set
L. P. Yugai
107


© Steklov Math. Inst. of RAS, 2025