Abstract:
Conditions of the existence of shock waves in relativistic hydrodynamics are found for the case of substance with “variable” thermodynamic properties. Various formulations of the general stability criterion are derived and their equivalence is proved under sufficiently general restrictions on the equation of state.
Citation:
K. A. Bugaev, M. I. Gorenshtein, V. I. Zhdanov, “Relativistic shock waves in the presence of regions with anomalous equation of state”, TMF, 80:1 (1989), 138–149; Theoret. and Math. Phys., 80:1 (1989), 767–775
This publication is cited in the following 5 articles:
K. A. Bugaev, A. I. Ivanytskyi, D. R. Oliinychenko, V. V. Sagun, I. N. Mishustin, D. H. Rischke, L. M. Satarov, G. M. Zinovjev, “Thermodynamically anomalous regions and possible new signals of mixed-phase formation”, Eur. Phys. J. A, 52:6 (2016)
E. Troyan, Yu. V. Vlasov, “Current discontinuities on superconducting cosmic strings”, J. Exp. Theor. Phys., 113:1 (2011), 55
V. I. Zhdanov, P. V. Titarenko, “Structure and evolution of shock waves in relativistic magnetohydrodynamics”, J. Exp. Theor. Phys., 87:3 (1998), 478
P.V. Tytarenko, V.I. Zhdanov, “Existence and stability of shock waves in relativistic hydrodynamics with general equation of state”, Physics Letters A, 240:6 (1998), 295
V.I. Zhdanov, P.V. Tytarenko, “Criterion for existence of shock waves in relativistic magnetohydrodynamics with a general equation of state”, Physics Letters A, 235:1 (1997), 71