The Riemann problem in gas dynamics. (English) Zbl 0435.76043
MSC:
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 76J20 | Supersonic flows |
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 35A05 | General existence and uniqueness theorems (PDE) (MSC2000) |
| 35L45 | Initial value problems for first-order hyperbolic systems |
| 35Q99 | Partial differential equations of mathematical physics and other areas of application |
| 35R05 | PDEs with low regular coefficients and/or low regular data |
References:
| [1] | R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. · Zbl 0041.11302 |
| [2] | W. D. Hayes, Gasdynamic discontinuities, Princeton Univ. Press, Princeton, N. J., 1960. · Zbl 0102.40901 |
| [3] | P. D. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537 – 566. · Zbl 0081.08803 · doi:10.1002/cpa.3160100406 |
| [4] | Tai Ping Liu, Shock waves in the nonisentropic gas flow, J. Differential Equations 22 (1976), no. 2, 442 – 452. · Zbl 0331.35042 · doi:10.1016/0022-0396(76)90039-5 |
| [5] | J. A. Smoller, On the solution of the Riemann problem with general step data for an extended class of hyperbolic systems, Michigan Math. J. 16 (1969), 201 – 210. · Zbl 0185.34501 |
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