Trudy Mat. Inst. Steklova, 2018, Volume 300

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

2018, Volume 300

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Contents

Modern problems and methods in mechanics

Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov

	Leonid Ivanovich Sedov (photo)
	Symmetries of fundamental solutions and their application in continuum mechanics A. V. Aksenov		7
	Absolute and convective instabilities of semi-bounded spatially developing flows Leo Brevdo		19
	Stability of an elastic tube conveying a non-Newtonian fluid and having a locally weakened section V. V. Vedeneev, A. B. Poroshina		42
	Small-amplitude discontinuities of solutions to equations of continuum mechanics A. N. Golubyatnikov		65
	Unsteady flows in deformable pipes: the energy conservation law A. T. Il'ichev, S. I. Sumskoi, V. A. Shargatov		76
	Evolution of a condensation surface in a porous medium near the instability threshold A. T. Il'ichev, G. G. Tsypkin		86
	Problem of the motion of an elastic medium formed at the solidification front A. G. Kulikovskii, E. I. Sveshnikova		95
	Shock waves in anisotropic cylinders A. G. Kulikovskii, A. P. Chugainova		109
	Control of detonation combustion in a high-velocity gas mixture flow V. A. Levin, T. A. Zhuravskaya		123
	Rotating detonation wave in an annular gap V. A. Levin, I. S. Manuylovich, V. V. Markov		135
	Couette flow of a viscoelastic Maxwell-type medium with two relaxation times V. Yu. Liapidevskii		146
	Periodic oscillations and waves in nonlinear weakly coupled dispersive systems N. I. Makarenko, Z. V. Makridin		158
	Nonlinear oscillations of a spring pendulum at the 1 : 1 : 2 resonance: theory, experiment, and physical analogies A. G. Petrov, V. V. Vanovskiy		168
	On the Voitkunskii–Amfilokhiev–Pavlovskii model of motion of aqueous polymer solutions V. V. Pukhnachev, O. A. Frolovskaya		176
	Dynamics of explosive volcano degassing I. S. Utkin, O. E. Melnik		190
	Instability of the phase transition front during water injection into high-temperature rock G. G. Tsypkin		197
	Roll wave structure in long tubes with compliant walls A. A. Chesnokov, V. Yu. Liapidevskii		205
	Flow structure behind a shock wave in a channel with periodically arranged obstacles V. A. Shargatov, A. P. Chugainova, S. V. Gorkunov, S. I. Sumskoi		216
	Mathematical modeling of slope flows of non-Newtonian media M. E. Eglit, A. E. Yakubenko, J. S. Zayko		229