Contents

Lobachevskii Journal of Mathematics


Vol. 45, No. 5, 2024


Collapse of Equal Symmetrically Located Spherical Cavitation Bubbles

A. A. Aganin, and T. F. Khalitova p. 1875  abstract

Comparison of Dynamics of Gas Bubbles in a Spherical Cluster Simulated by Continuous and Discrete Models

I. A. Aganin p. 1886  abstract

Focusing of Compression Waves in a Pipe Containing a Cylindrical Bubbly Cluster

U. O Agisheva, and M. N. Galimzyanov p. 1896  abstract

Some Features of the Modified Solid–Liquid–Vapor Equation of State

A. V. Batov, I. A. Galyaev, M. I. Kostiuchek, and A. M. Salnikov p. 1905  abstract

Computations of Flow Near the Nose of Wing-body Junction

I. S. Bosnyakov, A. V. Wolkov, S. V. Matyash, and A. I. Troshin p. 1917  abstract

Expansion and Contraction of Three Non-synchronously Appeared Bubbles

A. I. Davletshin p. 1925  abstract

Estimation of the Porosity and Permeability Fields of a Three-Phase Layered Reservoir Using the Spline Surfaces

A. V. Elesin, and A. Sh. Kadyrova p. 1936  abstract

Resonant Gas Oscillations in a Closed Tube with a Coaxial Heat Source

S. A. Fadeev, and L. R. Shaidullin p. 1947  abstract

Features of the Transmission of an Acoustic Wave Through a Multilayer Medium Containing Bubbly Liquid

R. N. Gafiyatov p. 1955  abstract

Self-similar Solutions for Laminar Wall Jets

A. M. Gaifullin, and A. S. Shcheglov p. 1963  abstract

Wave Interaction with Fractured Porous Layer in Porous Medium

A. A. Gubaidullin, O. Yu. Boldyreva, and D. N. Dudko p. 1971  abstract

Acoustic Streaming and Heat Transfer in a Rectangular Channel with Differently Heated Horizontal Walls

A. A. Gubaidullin, and A. V. Pyatkova p. 1980  abstract

Acoustics of a Viscoelastic Liquid with Perfluorocarbon Droplets in the Presence of Phase Transitions

D. A. Gubaidullin, D. D. Gubaidullina, and Yu. V. Fedorov p. 1988  abstract

Nonlinear Resonant Gas Oscillations in Resonators with Variable Cross-section

D. A. Gubaidullin, and B. A. Snigerev p. 1997  abstract

Interaction of Acoustic Waves with a Layer of Multifractional Polydispersed Vapor–Gas–Droplet Mixture with Account of Phase Transitions

D. A. Gubaidullin, and R. R. Zaripov p. 2007  abstract

Jet Impact During Bubble Collapse Near a Local Bump on a Solid Wall

T. S. Guseva p. 2015  abstract

Mathematical Modeling of Non-isothermal Flow of Two-phase Media in Curved Channels

R. I. Ibyatov, and F. G. Akhmadiev p. 2026  abstract

Oscillations of Nanofilms in a Fluid

M. A. Ilgamov p. 2035  abstract

Numerical Solution of the Inverse Problem of Non-stationary Filtration of Bingham Non-Newtonian Fluid to a Horizontal Well

M. Kh. Khairullin, and E. R. Badertdinova p. 2041  abstract

Mathematical Modeling of Water Vapor Injection into a Saturated Porous Medium

M. K. Khasanov, S. L. Borodin, and M. V. Stolpovsky p. 2049  abstract

Application of the Wavelet Transform in the Analysis of Non-stationary Processes in Aerodynamic Experiments

O. E. Kirillov p. 2058  abstract

Estimation of Oil Reservoir Transmissivity and Storativity Fields Using a Radial Basis Function Network Based on Inverse Problem Solving

V. P. Kosyakov, and D. Yu. Legostaev p. 2067  abstract

Numerical Investigation of the Structure of Fracture Network Impact on Interwell Conductivity

D. Yu. Legostaev, and S. P. Rodionov p. 2076  abstract

The Temperature Effect on the Stress-strain State of Inelastic Torispherical Heads under Internal Pressure

V. E. Moiseeva, and Z. V. Skvortsova p. 2085  abstract

Interaction of Two Gas Bubbles Rising One after Another in a Liquid

I. V. Morenko p. 2094  abstract

Methodology for Calculating the Parameters of Non-isothermal Filtration Considering the CO\({}_{\mathbf{2}}\)–CH\({}_{\mathbf{4}}\) Replacement in Methane Hydrate

N. G. Musakaev, S. L. Borodin, and D. S. Belskikh p. 2103  abstract

Mathematical Model of Asphaltene Deposition During Oil Production

A. I. Nikiforov, and G. A. Nikiforov p. 2111  abstract

The Influence of the Annular Gap Thickness on the Critical Reynolds Number During the Flow of Thermoviscous Liquids

A. D. Nizamova, V. N. Kireev, and S. F. Urmancheev p. 2119  abstract

Evolution of Acoustic Streaming Inside and Around the Open Tube Resonator

P. P. Osipov, D. A. Gubaidullin, and A. A. Abdyushev p. 2128  abstract

Pressure Diffusion Waves in a Porous Medium Saturated by Three Phase Fluid

R. V. Sadovnikov p. 2136  abstract

Effect of a Rigid Cone Inserted in a Tube on Resonant Gas Oscillations

L. R. Shaidullin, and S. A. Fadeev p. 2144  abstract

Numerical Analysis of Gas Well Test Results in Naturally Fractured Reservoirs

M. N. Shamsiev, and V. R. Gadil’shina p. 2151  abstract

The Use of Artificial Neural Networks to Determine the Aerodynamic Forces and Moments Acting on an Aircraft in a Vortex Wake

Yu. N. Sviridenko p. 2160  abstract

Stress-strain State Analysis of Porous Elasto-plastic Size-dependent Plates Subjected to Hygro-Mechanical Loads Using the Variational Iterations Method

A. D. Tebyakin, T. V. Yakovleva, and A. V. Krysko p. 2168  abstract

Propagation of Acoustic Waves in a Moving Monodispersed Gas Suspension

E. A. Teregulova p. 2184  abstract

Taylor Nearly Columnar Vortices in the Couette–Taylor System: Transition to Turbulence

T. Akinaga, P. M. J. Trevelyan, and S. C. Generalis p. 2194  abstract

Exact Solutions of a Model Nonlinear Equation

A. I. Aristov p. 2206  abstract

From Texts to Knowledge Graph in the Semantic Library LibMeta

O. M. Ataeva, V. A. Serebryakov, and N. P. Tuchkova p. 2211  abstract

Metric Effects in Event Space and Einstein’s Gravitation Theory

P. A. Belov, and S. A. Lurie p. 2220  abstract

Probabilistic Analysis of the Coefficients of Stochastic Differential Equations in Their Modeling of the Air–Sea Interaction in the North Atlantic

K. P. Belyaev, N. P. Tuchkova, and K. A. Romashina p. 2230  abstract

On Sums of Special Functions

Yu. A. Brychkov p. 2237  abstract

Numerical Aspects and Implementation of LAKE Scheme into a Global Atmospheric Model SLAV

R. Yu. Fadeev, and V. M. Stepanenko p. 2248  abstract

Unsteady Contact Interaction of Liquid and Solid Bodies

G. V. Fedotenkov, A. A. Orekhov, and L. N. Rabinskiy p. 2262  abstract

Mathematical Modeling of Anisotropic Thermal Protection with a High Degree of Longitudinal Anisotropy

V. F. Formalev, and B. A. Garibyan p. 2273  abstract

The Asperities Density and Height Distribution Combined Effect on Rough Elastic Bodies Contact Characteristics

I. G. Goryacheva, and A. A. Yakovenko p. 2279  abstract

One Problem for the Bessel Equation with a Spectral Parameter in the Boundary Condition

N. Kapustin, and A. Kholomeeva p. 2293  abstract

Numerical Simulation of Inverse Retrospective Problems for a Two-Dimensional Heat Equation

S. A. Kolesnik, and E. M. Stifeev p. 2299  abstract

A Mathematical Model of Rod Lateral Oscillations Considering an External Tangential Load

I. V. Kudinov, A. V. Pashin, and Yu. A. Kryukov p. 2313  abstract

Research of Thermal Explosion Conditions in Nonlinear Heat Conduction Problems with a Nonlinear Heat Source

V. A. Kudinov, K. V. Trubitsyn, K. V. Kolotilkina, S. V. Zaytsev, and T. E. Gavrilova p. 2321  abstract

Statistical Distribution of Characteristics of the Model Solution after Data Assimilation

A. Kuleshov, K. Belyaev, I. Smirnov, and N. Tuchkova p. 2328  abstract

A New Economical Unconditional Stable Splitting Method for Numerical Solution of Problems of Mathematical Physics

Ek. L. Kuznetsova, O. V. Egorova, and A. S. Novikov p. 2335  abstract

Configurations and Deformations in Relativistic Elasticity

S. A. Lychev, K. G. Koifman, and N. A. Pivovaroff p. 2342  abstract

Solution of the Biharmonic Problem with the Steklov-type and Farwig Boundary Conditions

Giovanni Migliaccio, and Hovik A. Matevossian p. 2363  abstract

Theory of Poisson’s Ratio for a Thermoelastic Micropolar Acentric Isotropic Solid

E. V. Murashkin, and Y. N. Radayev p. 2378  abstract

Stationary Modes of Compressible Fluid Flow in a Thermodynamically Consistent Coupled Model

N. N. Nazarenko, and A. G. Knyazeva p. 2391  abstract

Modeling of Heat Transfer in a Plate Made of Composite Material in the Presence of a Thermal Energy Sink

O. V. Tushavina, M. S. Egorova, and P. F. Pronina p. 2403  abstract

Dynamics of a Wheel with a Deformable Periphery

V. G. Vil’ke, and I. F. Kozhevnikov p. 2410  abstract

Refined Analysis of Shear Stress Distribution in Tapered Rods Accounting for Gradient Effects

A. V. Volkov, K. S. Golubkin, and Y. O. Solyaev p. 2421  abstract

Development Trefftz Method for Problems of Nonhomogeneous Media

D. B. Volkov-Bogorodskiy p. 2429  abstract

On One Optimization Problem in Nanoelectronics

V. I. Zubov p. 2438  abstract