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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2024, Volume 327

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Mathematical Aspects of Mechanics


Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday

Dmitry Valer'evich Treschev and Sergey Vladimirovich Bolotin (photo)
Finite-Gap Potentials and Integrable Geodesic Equations on a 2-Surface
S. V. Agapov, A. E. Mironov
7
Note on the Attraction of an Ellipsoid in a Spherical Universe
Alain Albouy
18
Classical and Wave Dynamics of Long Nonlinear Waves Localized in the Vicinity of Gently Sloping Shores
M. M. Votiakova, S. Yu. Dobrokhotov, D. S. Minenkov
27
On Hamiltonian Projective Billiards on Boundaries of Products of Convex Bodies
Alexey A. Glutsyuk
44
On Diffeomorphisms with Orientable Codimension 1 Basic Sets and an Isolated Saddle
V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev
63
On the Newton–Kantorovich Scheme for Evolutionary Equations
Andrey V. Dymov, Sergei B. Kuksin
79
Strict Lyapunov Functions and Energy Decay in Hamiltonian Chains with Degenerate Damping
Andrey V. Dymov, Lev V. Lokutsievskiy, Andrey V. Sarychev
87
On the Cessation of Motion in a Problem with Coulomb Friction
O. E. Zubelevich
106
Motion of Fluid Particles in the Field of a Generalized Surface Solitary Wave in a Fluid under Ice Cover
A. T. Il'ichev, A. S. Savin
113
On the Theory of Normal Forms
V. V. Kozlov
124
Existence of Localized Motions in the Vicinity of an Unstable Equilibrium Position
E. I. Kugushev, T. V. Salnikova
128
Bifurcations in Integrable Systems with Three Degrees of Freedom. I
E. A. Kudryavtseva, L. M. Lerman
140
The Influence of Transport Phenomena on the Cellular Detonation of Hydrogen–Air Mixture
Dmitrii I. Kuzovlev, Vladimir V. Markov
220
Special Discontinuities in the Solution of a Self-similar Problem on Waves in a Rod
A. G. Kulikovskii
229
Volume Enclosed by a Flux Surface
R. S. MacKay
238
On a Kinematic Proof of the Canonicity of Andoyer Variables
A. I. Neishtadt
249
Topology of Ambient Manifolds of Regular Homeomorphisms with Codimension 1 Saddles
Evgenii M. Osenkov, Olga V. Pochinka
254
Isothermal Coordinates of $W^{2,2}$ Immersions: A Counterexample
P. I. Plotnikov
265
Remarks on Forced Oscillations on Manifolds
I. Yu. Polekhin
283
A Map Approximating the Phase Flow in the Problem of Attitude Motion of Celestial Bodies
V. V. Sidorenko
291
Mathematical Modeling of the Dynamics of a Spaser with Broken Inversion Symmetry in a Low-Frequency Monochromatic Field
A. V. Soldatov
303
Central Extensions of Lie Algebras, Dynamical Systems, and Symplectic Nilmanifolds
I. A. Taimanov
317
On the Uniqueness of a Self-similar Solution to the Riemann Problem for Longitudinal–Torsional Waves in Nonlinear Elastic Rods
A. P. Chugainova
330


© Steklov Math. Inst. of RAS, 2025