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

2020, Volume 491


MATHEMATICS
Construction of infinite finitely presented nilsemigroup
A. Ya. Belov, I. A. Ivanov-Pogodaev
5
Multiplicative estimates for norms of derivatives on a domain
O. V. Besov
11
Constructive solution of one vector equilibrium problem
A. I. Bogolyubskii, V. G. Lysov
15
On the stochasticity parameter of quadratic residues
M. R. Gabdullin
19
A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case
J. I. Diaz, D. Gómez-Castro, T. A. Shaposhnikova, M. N. Zubova
23
On the Zakharov–Lvov stochastic model for wave turbulence
A. V. Dymov, S. B. Kuksin
29
Numerical analysis of laminar–turbulent transition by methods of chaotic dynamics
N. M. Evstigneev, N. A. Magnitskii
38
On global classical solutions of hyperbolic differential-difference equations
N. V. Zaitseva
44
Generalized primitive potentials
V. E. Zakharov, D. V. Zakharov
47
Navier–Stokes-alpha model with temperature-dependent viscosity
A. V. Zvyagin
53
Attractors of an autonomous model of nonlinear viscous fluid
V. G. Zvyagin, M. V. Kaznacheev
57
Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure
M. B. Karmanova
61
Uniform, on the real line, equiconvergence of spectral expansions for the higher-order differential operators
L. V. Kritskov
65
Minimal self-similar Peano curve of genus 5$\times$5
Yu. V. Malykhin, E. V. Shchepin
68
Differential equations in Banach algebras
A. I. Perov, I. D. Kostrub
73
Probabilistic approximation of the evolution operator $e^{itH}$, where $H=\dfrac{(-1)^md^{2m}}{(2m)!dx^{2m}}$
M. V. Platonova, S. V. Tsykin
78
Parabolic equations with changing direction of time
S. V. Popov
82
On large deviations of a sum of independent random variables with rapidly decreasing distribution tails
L. V. Rozovskii
86
Jacobi stability of a many-body system with modified potential
T. V. Sal'nikova, E. I. Kugushev, S. Ya. Stepanov
90
New cases of integrable odd-order systems with dissipation
M. V. Shamolin
95

INFORMATICS
Reciprocal function method for Cauchy problems with first-order poles
A. A. Belov, N. N. Kalitkin
102
Solution of the fracture detection problem by machine learning methods
M. V. Muratov, V. A. Biryukov, I. B. Petrov
107
Modeling of radiative heat conduction on high-performance computing systems
B. N. Chetverushkin, O. G. Olkhovskaya
111


© Steklov Math. Inst. of RAS, 2025