Contents

Computational Mathematics and Mathematical Physics


Vol. 65, No. 5, 2025


PARTIAL DIFFERENTIAL EQUATIONS

On the Propagation Direction of Traveling Waves

V. V. Vedeneev p. 949  abstract

Asymptotics of Long Waves Generated by Time-Harmonic Spatially Localized Sources in Basins with Gently Sloping Shores

S. Yu. Dobrokhotov, V. E. Nazaikinskii, I. A. Nosikov, and A. A. Tolchennikov p. 966  abstract


PARTIAL DIFFERENTIAL EQUATIONS

On Some Kinematic and Energy Relations for Waves Propagating in Elastic Systems

V. I. Erofeev, and E. E. Lisenkova p. 982  abstract

Solitary Waves of Burgers Hierarchy Equations

N. A. Kudryashov p. 995  abstract

Averaging of Systems of Integro-Differential Equations with Multipoint Boundary Conditions

V. B. Levenshtam, and M. R. Yavaeva p. 1004  abstract

Breaking of Internal Solitary Waves in a Three-Layer Fluid over an Obstacle

V. Yu. Liapidevskii, and A. A. Chesnokov p. 1013  abstract

Undercompressive Discontinuities of a Hyperbolic System of Conservation Law Equations: Finite-Difference Schemes

R. R. Polekhina, and A. P. Chugainova p. 1026  abstract


MATHEMATICAL PHYSICS

The Flow Structure near the Leading Edge of a Liquid Layer Spreading Along a Superhydrophobic Surface

A. I. Ageev, and A. N. Osiptsov p. 1037  abstract


MATHEMATICAL PHYSICS

Nondissipative and Dissipative Discontinuity Structures in Solutions to Equations of Micropolar Magnetoelastic Medium

I. B. Bakholdin p. 1057  abstract

Two-Dimensional Mathematical Models of Strict Plasma Equilibrium in Galatea Magnetic Traps and Numerical Analysis of Stability

K. V. Brushlinskii, V. V. Kryuchenkov, and E. V. Stepin p. 1069  abstract


MATHEMATICAL PHYSICS

A Fast Method for Determining the Forces and Moments Acting on Aircraft in a Vortex Wake

A. M. Gaifullin, O. V. Karas, and Yu. N. Sviridenko p. 1081  abstract


MATHEMATICAL PHYSICS

Time Dependence of Stability of the Water–Vapor Phase Transition Front in High-Temperature Rocks

K. R. Zhitnikov, and G. G. Tsypkin p. 1090  abstract

Motion of Fluid Particles in the Field of a Nonlinear Periodic Surface Wave in a Fluid Beneath an Ice Cover

A. T. Il’ichev, and A. S. Savin p. 1103  abstract


MATHEMATICAL PHYSICS

Some Aspects of Numerical Modeling of Shock-Wave Processes in a Two-Phase Gas-Dispersed Mixture

I. S. Menshov, M. Yu. Nemtsev, V. V. Markov, and I. V. Semenov p. 1113  abstract

Nonlinear Evolution of Stationary Perturbations in a Spatially Evolving Round Submerged Jet

N. V. Nikitin, and N. V. Popelenskaya p. 1131  abstract

Influence of Vibration on the Onset of Convection in Second Grade Fluid

V. V. Pukhnachev, and O. A. Frolovskaya p. 1142  abstract


MATHEMATICAL PHYSICS

Gas Well Injectivity in Different Regimes of Reservoir Fluid Displacement

I. M. Sypchenko, and A. A. Afanasyev p. 1150  abstract


MATHEMATICAL PHYSICS

Instability of Gas–Liquid Interface in Porous Media Flow Governed by Forchheimer’s Law

V. A. Shargatov, P. I. Kozhurina, and S. V. Gorkunov p. 1161  abstract