Stability of shock waves

The progress already made in studies of the stability of shock waves and some tasks for the future are reviewed. The following aspects of the problem are discussed: 1) stability of shock waves as hydrodynamic discontinuities irrespective of the events which occur in the relaxation zone of a wave (this aspect includes also the problem of stability of a shock wave sustained by a piston and anomalies in the reaction of a wave to external perturbation, including reflection and refraction of perturbations); 2) stability of flow in the relaxation zone (structural stability) of a shock wave. The stress is on the theoretical side of the problem. However, potential practical realization of the shock-wave instability criteria are also considered. Schemes of decay of unstable shock-wave discontinuities are discussed.

PACS: 47.40.Nm, 47.20.−k (all)
DOI: 10.1070/PU1989v032n11ABEH002777
URL: https://ufn.ru/en/articles/1989/11/c/
Citation: Kuznetsov N M "Stability of shock waves" Sov. Phys. Usp. 32 993–1012 (1989)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кузнецов Н М «Устойчивость ударных волн» УФН 159 493–527 (1989); DOI: 10.3367/UFNr.0159.198911c.0493

References (101) Cited by (45) Similar articles (20) ↓

L.M. Biberman, A.Kh. Mnatsakanyan, I.T. Yakubov “Ionization relaxation behind strong shock waves in gases” Sov. Phys. Usp. 13 728–744 (1971)
R.F. Trunin “Shock compressibility of condensed materials in strong shock waves generated by underground nuclear explosions” Phys. Usp. 37 1123–1145 (1994)
A.S. Monin “Hydrodynamic instability” Sov. Phys. Usp. 29 843–868 (1986)
A.I. Osipov, A.V. Uvarov “Stability problems in a nonequilibrium gas” Phys. Usp. 39 597–608 (1996)
S.N. Gurbatov, A.I. Saichev, I.G. Yakushkin “Nonlinear waves and one-dimensional turbulence in nondispersive media” Sov. Phys. Usp. 26 857–876 (1983)
O.V. Rudenko, O.A. Sapozhnikov “Self-action effects for wave beams containing shock fronts” Phys. Usp. 47 907–922 (2004)
A.M. Fridman “Prediction and discovery of extremely strong hydrodynamic instabilities due to a velocity jump: theory and experiments” Phys. Usp. 51 213–229 (2008)
R.I. Soloukhin “Detonation waves in gases” Sov. Phys. Usp. 6 523–541 (1964)
G.I. Kanel, V.E. Fortov, S.V. Razorenov “Shock waves in condensed-state physics” Phys. Usp. 50 771–791 (2007)
A.G. Merzhanov, Rumanov É N “Nonlinear effects in macroscopic kinetics” Sov. Phys. Usp. 30 293–316 (1987)
S.K. Nemirovskii “Nonlinear acoustics of superfluid helium” Sov. Phys. Usp. 33 (6) 429–452 (1990)
E.D. Eidel’man “Excitation of an electric instability by heating” Phys. Usp. 38 1231–1246 (1995)
B.P. Zakharchenya, D.N. Mirlin et al “Spectrum and polarization of hot-electron photoluminescence in semiconductors” Sov. Phys. Usp. 25 143–166 (1982)
Yu.A. Stepanyants, A.L. Fabrikant “Propagation of waves in hydrodynamic shear flows” Sov. Phys. Usp. 32 783–805 (1989)
A.F. Aleksandrov, A.A. Rukhadze “High-current electric-discharge light sources” Sov. Phys. Usp. 17 44–63 (1974)
Sh.M. Kogan “Low-frequency current noise with a 1/f spectrum in solids” Sov. Phys. Usp. 28 170–195 (1985)
V.N. Pokrovskii “Low-frequency dynamics of dilute solutions of linear polymers” Phys. Usp. 37 375–391 (1994)
E.G. Maksimov, Yu.I. Shilov “Hydrogen at high pressure” Phys. Usp. 42 1121–1138 (1999)
A.V. Timofeev “Oscillations of inhomogeneous flows of plasma and liquids” Sov. Phys. Usp. 13 632–646 (1971)
E.I. Zababakhin “Cumulation of energy and its limits” Sov. Phys. Usp. 8 295–298 (1965)

The list is formed automatically.