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

1989, Volume 186

| General information | Contents |


Current mathematical problems in mechanics and their applications


Dedicated to Academician L. I. Sedov on his 80th birthday

Leonid Ivanovich Sedov (photo)
Preface
G. G. Chernii
3
Acceleration of the force of gravity in Minkowski space
L. I. Sedov
4
Some recent contributions to mechanics of material continua
P. Germain
6
On gas jets with a prescribed compressibility law
C. Jacob
7
Singularities of mathematical solutions of problems connected with the investigation of one-dimensional flows in multidimensional spaces
V. N. Shchelkachev
19
A new method for solving a system of kinetic equations for gas mixtures
V. V. Struminskii
27
Some ideal fluid models in the theory of separated flows
G. Yu. Stepanov
31
Mechanism of anomalously low drag during the motion of bodies in solid media
G. G. Chernii
40
Natural flows of “power” non-Newtonian fluid on vertical heated plate
V. N. Sal'nikov, P. Griglashevski
48
Estimation of the parameters of motion under the action of nonmodelable accelerations
M. L. Lidov
59
Magneto-vortical rings existence and movement in the earth atmosphere
Yu. P. Ladikov-Roev
64
On the non-homogeneity of density fields behind shock propagating through dust-gas mixture
V. P. Korobeinikov, V. V. Markov, L. I. Sedov, I. S. Menshov
70
Non-Navier–Stokes models in problems of supersonic and hypersonic flow of a viscous gas around bodies
G. A. Tirskii
74
Analytic solution of a nonlinear problem of the penetration of a thin cone into a fluid
A. L. Gonor
85
On the structure and dynamics of the Universe
S. S. Grigoryan
91
Problems of stability and the origin of chaos in closed hydrodynamic flows
Yu. N. Belyaev, I. M. Yavorskaya
106
Continuous models of the movement of a population of living organisms
S. A. Regirer
117
Boundary value problems in the asymptotic theory of hydrodynamic stability
O. S. Ryzhov
124
Peculiarities of the behavior of nonlinear quasitransversal waves in an elastic medium with a small anisotropy
A. G. Kulikovskii
132
Hydrodynamics of magnetic fluids. Some models and examples of their applications
V. V. Gogosov, A. Ya. Simonovskii, G. A. Shaposhnikova
140
Magnetohydrodynamics of a magnetized plasma
I. S. Shikin
150
Peculiarities of MHD flows connected with the switching-off of the electrical conductivity of a medium
A. A. Barmin, V. S. Uspenskii
157
The dynamics of snow avalanches
M. È. Èglit
162
Electrohydrodynamic turbulent flows
A. B. Vatazhin
168
On the motion of a polymer molecule in a fluid
N. G. Vasetskaya
177
Nonsteady body motion in fluids
A. G. Terentyev
182
Evolution of isolated disturbances on the surface of a film of viscous fluid flowing down a vertical wall
I. P. Semenova, A. E. Yakubenko
192
The supersonic flow over body with heat addition ahead
P. Yu. Georgievskii, V. A. Levin
197
Numerical simulation of dynamic contact angles
M. N. Esmail, V. V. Markov
203
Electrohydrodynamic models for charging of aerosol particles in the atmosphere
N. L. Vasil'eva, G. L. Sedova, A. V. Filippov, L. T. Chernyi
209
Defects in coupled elastic materials and their induced multipole characterizations
R. Hsieh
215
Properties of a fifth-order nonlinear evolution equation that describes wave processes in media with weak dispersion
A. T. Il'ichev
222
On the energy-momentum tensor of matter in special relativity theory
A. G. Tsypkin
227
Errata


© Steklov Math. Inst. of RAS, 2025