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

1998, Volume 223

| General information | Contents |


Contemporary problems of continuum mechanics


Collection of papers dedicated to the 90th anniversary of academician Leonid Ivanovich Sedov

Leonid Ivanovich Sedov (photo)
On the 90th Birthday of Leonid Ivanovich Sedov
G. G. Chernii
9
A Simple Model of the Oceanic Thermocline
G. I. Marchuk
14
Group Classification of Gasdynamic Submodels
L. V. Ovsyannikov
21
The Affine-Metric Structure of an Elastoplastic Model of a Continuum
V. P. Myasnikov, M. A. Guzev
30
Dynamics of a Body Moving in a Continuum
S. S. Grigoryan
38
Methods for Studying Critical States in Continuous Media
V. P. Korobeinikov
43
Self-Oscillating Modes of a Plane Fluid Jet Outflow from under a Free Surface
V. P. Karlikov, O. V. Trushina
52
The Effect of Dispersion on the Set of Admissible Discontinuities in Continuum Mechanics
A. G. Kulikovskii, N. I. Gvozdovskaya
63
Cooling of a Magnetizable Ball in Magnetic Fluids in the Presence of a Magnetic Field
V. V. Gogosov, Kh. D. Iskanderov, V. V. Kiryushin, A. Ya. Simonovskii
74
Waves in Fractured Media: A Possible Event Preceding an Earthquake
Yu. P. Ladikov
83
A Two-Dimensional MHD Model of Interaction between Strong Discontinuities and Its Cosmophysical Applications
A. A. Barmin, E. A. Pushkar'
87
New Models Arising in the Averaged Description of Microinhomogeneous Media
M. È. Èglit
102
Fibrous Suspension as a Carrier Medium in the Transportation of Granular Materials
V. A. Babkin
112
Optimization of Solution to the Lagrange Problem with Respect to the Initial Data
A. N. Golubyatnikov, N. E. Leont'ev
118
Simple Scheme of Plane Cavitational or Separated Incompressible Fluid Flow past a Wedge and Plate
G. Yu. Stepanov
123
The Effect of Air Interlayer on the Shock Initiation of Detonation in a Hydrogen–Air Mixture
V. A. Levin, V. V. Markov, S. F. Osinkin
136
Computer Simulation of the Dynamics of a High-Speed Impact
S. A.-R. Afanas'eva, N. N. Belov, V. A. Grigoryan, A. A. Konyaev, M. V. Khabibullin, N. T. Yugov
144
Exact Solutions Describing One-Dimensional Isentropic Flow of a Polytropic Gas
A. V. Aksenov
148
Deceleration Features of a Two-Dimensional Hypersonic Flow of Conducting Gas in a Channel in the Electric-Power Generation Mode
A. B. Vatazhin, O. V. Gus'kov, V. I. Kopchenov
153
The Existence Conditions for Equilibriums in a Bounded Circular Many-Body Problem
E. A. Grebenikov, L. Ya. Gadomskii
163
Calculation of Turbulent Convection with Continuous Spatial Spectrum in a Horizontal Layer of Solution
C. Ya. Gertsenshtein, V. N. Popov
166
Equilibrium Shape of a Nematic Liquid-Crystal Droplet
A. G. Kalugin, A. N. Golubyatnikov
171
Application of the Boundary Conditions for the Concentration and Temperature Jumps in the Problems of Hypersonic Flow over Bodies
B. A. Kiryutin
178
Hydrodynamic Theory of a Class of Finite-Dimensional Dissipative Systems
V. V. Kozlov
181
The Structure of Rarefaction and Compression Flows in the Neighborhood of the Reflection Point of the “Boundary” Characteristic
A. N. Kraiko
187
Models of Human Lungs and Investigation of the Respiration Mechanics on the Basis of These Models
G. A. Lyubimov
196
Simulation of the Dynamics of Volcanic Eruption Products Dispersion in the Atmosphere
V. V. Markov, O. É. Mel'nik
207
Various Motion Regimes of a Floating Body under the Effect of Surface Wave
A. V. Marchenko
213
Zones of Phase Transitions and Phase Transformations in Elastic Bodies under Various Stress States
N. F. Morozov, A. B. Freidin
220
Forced Oscillations of a Magnet in a Vessel Filled with a Magnetic Fluid
V. A. Naletova, V. A. Turkov
233
Regimes of Supersonic Flows past V-Shaped Wings
N. A. Ostapenko
238
A Study of the Current Flow Mechanism in Low-Conductivity Liquids in the Presence of Bulk and Surface Electrochemical Processes
I. L. Pankrat'eva, V. A. Polyanskii
248
Problems of Calculating Extremely Intense Interactions of Large Volumes of Cosmic Dust with Planetary Atmospheres
L. V. Shurshalov, P. V. Plotnikov
255
Inhomogeneity of Blood Flow through Adjacent Microvessels
S. A. Regirer, N. Kh. Shadrina
264
Features of the Evolutionary Property of Elastic Shock Waves under Degenerate Initial Conditions
E. I. Sveshnikova
270
Features of Mass Exchange in the Shaped Interfacial Growth of Optical KDP Crystals from a Solution
V. S. Uspenskii, V. O. German, V. D. Trifonov
276
Investigation of Unsteady Electrodynamic Processes on Weakly Conducting Plane Surfaces
G. A. Shaposhnikova
283


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