Contents

Russian Journal of Mathematical Physics


Vol. 30, No. 4, 2023


Research Articles

Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators

D. Akpan, and A. Oshemkov p. 425  abstract

On Degenerate Orbits of Real Lie Algebras in Multidimensional Complex Spaces

A.V. Atanov, and A.V. Loboda p. 432  abstract

Analytic Solution of the System of Integro-Differential Equations for the Plasma Model in an External Field

S.I. Bezrodnykh, and N.M. Gordeeva p. 443  abstract

Flow Around a Curved Plate with Small Periodic Irregularities: a Double-Deck Boundary Layer

V. G. Danilov, and A. M. Glazunova p. 453  abstract

Asymptotics of the Cauchy Problem for the One-Dimensional Schrödinger Equation with Rapidly Oscillating Initial Data and Small Addition to the Smooth Potential

S. Yu. Dobrokhotov p. 466  abstract

High-Energy Homogenization of a Multidimensional Nonstationary Schrödinger Equation

M. Dorodnyi p. 480  abstract

Transport Equation for the Harmonic Crystal Coupled to a Klein–Gordon Field

T.V. Dudnikova p. 501  abstract

The Mean Square of the Pauli–Jordan–Dirac Anticommutator With Respect to Spatial Variables

E.A. Karatsuba p. 522  abstract

Probabilistic Degenerate Bell Polynomials Associated with Random Variables

T. Kim, and D. S. Kim p. 528  abstract

Nonlinear Long Standing Waves with Support Bounded by Caustics or Localized in the Vicinity of a Two-Link Trajectory

A.I. Klevin, and A.V. Tsvetkova p. 543  abstract

Averaging Method for Quasi-Linear Hyperbolic Systems

V.B. Levenshtam p. 552  abstract

Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems

Yu.M. Meshkova p. 561  abstract

Asymptotics of the Whispering Gallery-Type in the Eigenproblem for the Laplacian in a Domain of Revolution Diffeomorphic To a Solid Torus

D.S. Minenkov, and S.A. Sergeev p. 599  abstract

Asymptotics of Long Nonlinear Propagating Waves in a One-Dimensional Basin with Gentle Shores

D.S. Minenkov, and M.M. Votiakova p. 621  abstract

Classification of Singularities of the Liouville Foliation of an Integrable Elliptical Billiard with a Potential of Fourth Degree

S.E. Pustovoitov p. 643  abstract

Method of Potential Operators for Interaction Problems on Unbounded Hypersurfaces in \(\mathbb{R}^{n}\) for Dirac Operators

V. S. Rabinovich p. 674  abstract

Estimation of the Approximation of Continuous Periodic Functions by Fourier Sums

T.Yu. Semenova p. 691  abstract

Lie’s Theorem for Solvable Connected Lie Groups Without the Continuity Assumption

A. I. Shtern p. 701  abstract

Trace of the Resolvent of the Laplace Operator on a Metric Graph

A. A. Tolchennikov p. 704  abstract

On Solutions of the Navier Problem for a Polyharmonic Equation in Unbounded Domains

H.A. Matevossian p. 713  abstract