The classification of gas-dynamic structures described by the nonlinear acoustical equation of a relaxing medium
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2009), pp. 92-104 Cet article a éte moissonné depuis la source Math-Net.Ru

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Analytical and numerical solutions of a nonlinear acoustical equation of a relaxing medium are considired. The full classification of the stationary structures described by this equation is given.
Keywords: shock wave, stationary structure, self-sustained wave, stability, nonequilibrium medium, relaxation, sound amplification, negative dispersion, negative viscosity.
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V. G. Makaryan; N. E. Molevich; D. P. Porfir'ev. The classification of gas-dynamic structures described by the nonlinear acoustical equation of a relaxing medium. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2009), pp. 92-104. http://geodesic.mathdoc.fr/item/VSGU_2009_6_a9/

[1] A. I. Klimov i dr., “Rasprostranenie udarnykh voln v nestatsionarnom tleyuschem razryade”, Pisma ZhTF, 15:20 (1989), 31–36

[2] Basargin I. V., Mishin G. I., “Predvestnik udarnoi volny v plazme tleyuschego razryada”, Pisma ZhTF, 15:8 (1989), 55–60

[3] Bystrov S. A., Ivanov V. I., Shugaev F. V., “Rasprostranenie ploskoi udarnoi volny v slaboionizovannoi plazme”, Fizika plazmy, 15:5 (1989), 558–562

[4] Gridin A. Yu., Klimov A. I., Molevich N. E., “Rasprostranenie udarnykh voln v plazme tleyuschego razryada”, ZhTF, 63:3 (1993), 157–162

[5] Gridin A. Yu., Klimov A. I., “Struktura udarnoi volny v neravnovesnoi plazme (vydelenie energii, zapasennoi v razryadnoi plazme za udarnoi volnoi)”, Khim. fizika, 12:3 (1993), 363–365

[6] Ganguly B. N., Bletzinger P., Garscadden A., “Shock wave damping and dispersion in nonequilibrium low pressure argon plasmas”, Phys. Lett. A, 230:3 (1997), 218–222 | DOI

[7] Macheret S. O., “Shock wave propagation and dispersion in glow discharge plasmas”, Phys. Fluids, 13 (2001), 2693–2705 | DOI

[8] Klimov A. I., Bityurin V., Serov Yu., “Nonthermal approach in plasma aerodynamics”, AIAA Papers, 2001, 0348

[9] Molevich N. E., Klimov A. I., Makaryan V. G., “Influence of thermodynamical non-equilibrium on acoustical properties of gases”, Intern. J. Aeroacoustics, 4:3–4 (2005), 345–355

[10] Bletzinger P., “Plasmas in high speed aerodynamics”, J. Phys. D: Appl. Phys., 38:4 (2005), R33–R57 | DOI

[11] Makaryan V. G., Molevich N. E., “Struktura gazodinamicheskogo vozmuscheniya v termodinamicheski neravnovesnoi srede s eksponentsialnoi modelyu relaksatsii”, Izv. RAN. MZhG, 2004, no. 5, 181–191 | Zbl

[12] Makaryan V. G., Molevich N. E., “Novye statsionarnye struktury v akusticheski aktivnoi srede”, Pisma ZhTF, 29:18 (2003), 11–15

[13] Makaryan V. G., Molevich N. E., “Slabye udarnye volny v neravnovesnykh sredakh s otritsatelnoi dispersiei”, ZhTF, 75:6 (2005), 13–18

[14] Molevich N. E., “Nelineinye uravneniya v teorii sred s otritsatelnoi vtoroi vyazkostyu”, Sibirskii fiziko-tekhnicheskii zhurnal, 1991, no. 1, 133–136

[15] Kogan E. Ya., Molevich N. E., “Udarnye volny razrezheniya v neravnovesnom kolebatelno-vozbuzhdennom gaze”, Akusticheskii zhurnal, 39:5 (1993), 951–954

[16] Landau L. D., Lifshits E. M., Gidrodinamika, Nauka, M., 1986, 736 pp. | MR