RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2023, Volume 322

| General information | Contents |


Modern Methods of Mechanics


Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii

Andrei Gennad'evich Kulikovskii (photo)
Andrei Gennad'evich Kulikovskii: On the occasion of his 90th birthday
V. V. Pukhnachev, A. T. Il'ichev, A. P. Chugainova
7
Linear and Nonlinear Development of Bending Perturbations in a Fluid-Conveying Pipe with Variable Elastic Properties
K. E. Abdul'manov, V. V. Vedeneev
10
Periodic and Solitary Waves and Nondissipative Discontinuity Structures in Electromagnetic Hydrodynamics in the Case of Wave Resonance
I. B. Bakholdin
24
Separatrix Maps in Slow–Fast Hamiltonian Systems
Sergey V. Bolotin
38
Mathematical Model of Equilibrium Plasma Configurations in Magnetic Traps and Their Stability Analysis
K. V. Brushlinskii, V. V. Kryuchenkov, E. V. Stepin
58
Analytic Properties of Solutions to the Equation of Internal Gravity Waves with Flows for Critical Modes of Wave Generation
V. V. Bulatov
71
On the Problem of Energy Concentration
A. N. Golubyatnikov, D. V. Ukrainskii
83
Internal Stresses in an Elastic Half-space under Discrete Contact Conditions
I. G. Goryacheva, A. A. Yakovenko
94
Nonlinear Effects and Run-up of Coastal Waves Generated by Billiards with Semi-rigid Walls in the Framework of Shallow Water Theory
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova
111
Convective Modulation Instability of the Radiation of the Periodic Component in the Case of Resonance of Long and Short Waves
A. T. Il'ichev
124
On Linear Equations of Dynamics
V. V. Kozlov
133
On Waves on the Surface of an Unstable Layer of a Viscous Fluid Flowing Down a Curved Surface
A. G. Kulikovskii, J. S. Zayko
146
Longitudinal–Torsional Waves in Nonlinear Elastic Rods
A. G. Kulikovskii, A. P. Chugainova
157
Equilibrium Model of Density Flow
V. Yu. Liapidevskii
167
Exact Solutions of Second-Grade Fluid Equations
A. G. Petrova, V. V. Pukhnachev, O. A. Frolovskaya
180
A Topological–Analytical Method for Proving Averaging Theorems on an Infinite Time Interval in a Degenerate Case
Ivan Yu. Polekhin
195
On Isochronicity
D. V. Treschev
206
Mathematical Model of Replacing Methane in Hydrate with Carbon Dioxide When It Is Injected into a Reservoir Saturated with a Mixture of Hydrate, Methane, and Water
G. G. Tsypkin
233
Wave Structures in Ideal Gas Flows with an External Energy Source
A. A. Chesnokov
241
Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter
A. P. Chugainova, R. R. Polekhina
251
Structures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points
V. A. Shargatov, A. P. Chugainova, A. M. Tomasheva
266
Flows of Liquids with a Yield Strength in Pipes under a Pulsating Pressure Drop
M. E. Eglit, Yu. A. Drozdova, I. N. Usachev, A. V. Drozdov
282


© Steklov Math. Inst. of RAS, 2025