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

2016, Volume 295

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Modern problems of mechanics


Collected papers

Integrable and non-integrable structures in Einstein–Maxwell equations with Abelian isometry group $\mathcal G_2$
G. A. Alekseev
7
On fourth-degree polynomial integrals of the Birkhoff billiard
M. Bialy, A. E. Mironov
34
Generalizations of the Kovalevskaya case and quaternions
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
41
Degenerate billiards
S. V. Bolotin
53
Arnold diffusion in a neighborhood of strong resonances
M. N. Davletshin, D. V. Treschev
72
Nonequilibrium statistical mechanics of a solid immersed in a continuum
A. V. Dymov
107
A KAM theorem for space-multidimensional Hamiltonian PDEs
L. H. Eliasson, B. Grébert, S. B. Kuksin
142
Spectral stability theory of heteroclinic solutions to the Korteweg–de Vries–Burgers equation with an arbitrary potential
A. T. Il'ichev, A. P. Chugainova
163
Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments
Yu. L. Karavaev, A. A. Kilin
174
A local perturbation method for the approximate calculation of the acoustic wave diffraction with impedance interface conditions
D. Yu. Knyaz'kov, A. V. Romanova, A. S. Shamaev
184
A self-similar wave problem in a Prandtl–Reuss elastoplastic medium
A. G. Kulikovskii, A. P. Chugainova
195
On the stability of periodic trajectories of a planar Birkhoff billiard
A. P. Markeev
206
Asymptotic behavior of the spectrum of one-dimensional vibrations in a layered medium consisting of elastic and Kelvin–Voigt viscoelastic materials
A. S. Shamaev, V. V. Shumilova
218
Homogenization of the equations of state for a heterogeneous layered medium consisting of two creep materials
A. S. Shamaev, V. V. Shumilova
229
On first integrals of geodesic flows on a two-torus
I. A. Taimanov
241
Abel's theorem and Bäcklund transformations for the Hamilton–Jacobi equations
A. V. Tsiganov
261
On the application of the asymptotic method of global instability in aeroelasticity problems
V. V. Vedeneev
292
Controlled motion of a rigid body with internal mechanisms in an ideal incompressible fluid
E. V. Vetchanin, A. A. Kilin
321


© Steklov Math. Inst. of RAS, 2025