Relativistic shock waves in the presence of regions with anomalous equation of state
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 138-149
K. A. Bugaev; M. I. Gorenshtein; V. I. Zhdanov. Relativistic shock waves in the presence of regions with anomalous equation of state. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 138-149. http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a11/
@article{TMF_1989_80_1_a11,
     author = {K. A. Bugaev and M. I. Gorenshtein and V. I. Zhdanov},
     title = {Relativistic shock waves in~the presence of~regions with anomalous equation of~state},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {138--149},
     year = {1989},
     volume = {80},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a11/}
}
TY  - JOUR
AU  - K. A. Bugaev
AU  - M. I. Gorenshtein
AU  - V. I. Zhdanov
TI  - Relativistic shock waves in the presence of regions with anomalous equation of state
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 138
EP  - 149
VL  - 80
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a11/
LA  - ru
ID  - TMF_1989_80_1_a11
ER  - 
%0 Journal Article
%A K. A. Bugaev
%A M. I. Gorenshtein
%A V. I. Zhdanov
%T Relativistic shock waves in the presence of regions with anomalous equation of state
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 138-149
%V 80
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a11/
%G ru
%F TMF_1989_80_1_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Zeldovich Ya. B., Raizer Yu. P., Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii, Nauka, M., 1966

[2] Landau L. D., Lifshits E. M., Gidrodinamika, Nauka, M., 1986 | MR

[3] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR

[4] Gorenstein M. I., Zhdanov V. I., Z. Phys. C, 34:1 (1987), 79–84 | DOI

[5] Bugaev K. A., Gorenstein M. I., J. Phys. G, 13 (1978), 1231–1238 | DOI

[6] Shikin I. S., DAN SSSR, 142:2 (1962), 296–298