Geodesic
Dynamic and heating of plasma subject to heat flux relaxation
Matematičeskoe modelirovanie, Tome 20 (2008) no. 4, pp. 57-68.

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Article describes the analysis of hyperbolic heat transfer model taking into account the relaxation of the heat flow. It is shown that heat flow relaxation can essentially influence the character of energy transfer in the substance. The estimation of influence of heat transfer on laser plasma processes is carried out. Some of the qualitative effects are investigated using solutions of the gas dynamics equations (automodel solution and progressive waves solution). 
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P. P. Volosevich; N. V. Zmitrenko; E. I. Levanov; E. V. Severina. Dynamic and heating of plasma subject to heat flux relaxation. Matematičeskoe modelirovanie, Tome 20 (2008) no. 4, pp. 57-68. http://geodesic.mathdoc.fr/item/MM_2008_20_4_a4/

[1] Volosevich P. P., Kosarev V. I., Levanov E. I., Ob uchete ogranicheniya teplovogo potoka v chislennom eksperimente, Preprint No 21, IPM im. M. V. Keldysha AN SSSR, 1978, 22 pp.

[2] Levanov E. I., Sotskii E. N., “Teploperenos s uchetom relaksatsii teplovogo potoka. Matematicheskoe modelirovanie”, Nelineinye differentsialnye uravneniya matematicheskoi fiziki, Nauka, M., 1987, 155–190 | MR

[3] Moses G. A., Duderstadt J. J., “Improved treatment of electron thermal conduction in plasma hydrodynamics calculations”, Phys. Fluids, 20:5 (1977), 762–770 | DOI

[4] Bell A. R., Evans R. G., Nicholas D. J., “Electron energy transport in steep temperature gradients in laserproduced plasmas”, Phys. Rev. Lett., 46:4 (1981), 243–246 | DOI

[5] Shablovskii O. N., Relaksatsionnyi protsess v nelineinykh sredakh, Uchrezhdenie obrazovaniya Gomelskii Gosudarstvennyi tekhnicheskii universitet im. I. O. Sukhogo, Gomel, 2003, 382 pp.

[6] Volosevich P. P., Levanov E. I., Severina E. V., “Matematicheskoe modelirovanie teploperenosa v dvizhuscheisya srede s uchetom relaksatsii potoka tepla i ob'emnykh istochnikov energii”, Izvestiya VUZov. Matematika, 2005, no. 1(512), 31–39 | MR | Zbl

[7] Lykov A. V., “Primenenie metodov termodinamiki neobratimykh protsessov k issledovaniyu teplo- i massoobmena”, IFZh, 9:3 (1965), 287–304

[8] Cattaneo C., “Sur une forme de l'equation de la chaleur eliminant le paradoxe d'une propagastion instantee”, C. R. Acad. Sci., 247:4 (1958), 431–433 | MR

[9] Khonkin A. D., “Ob uravneniyakh gidrodinamiki bystrykh protsessov”, DAN SSSR, 210:5 (1973), 1033–1035

[10] Gutfeld R., “Rasprostranenie teplovykh impulsov”, Fizicheskaya akustika, t. 5, ed. U. Mezona, Mir, M., 1973, 267–309

[11] Kosarev V. I., Levanov E. I., Sotskii E. N., Ob odnom sposobe opisaniya protsessa elektronnoi teploprovodnosti v vysokotemperaturnoi plazme, Preprint No 145, IPM im. M. V. Keldysha AN SSSR, 1981, 25 pp.

[12] Rozanov V. B., “Lazernyi termoyadernyi sintez: issledovaniya v FIANe skhem i kontseptsii lazernykh mishenei”, Kvantovaya elektronika, 24:12 (1997), 1095–1104

[13] Volosevich P. P., Degtyarev L. M., Levanov E. I., Kurdyumov S. P, Popov Yu. P., Samarskii A. A., Favorskii A. P., “Protsess sverkhvysokogo szhatiya veschestva i initsiirovanie termoyadernoi reaktsii moschnym impulsom lazernogo izlucheniya”, Fizika plazmy, 2:6 (1976), 883–897

[14] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, izd-vo MGU, M., 1999, 798 pp. | MR

[15] Volosevich P. P., Levanov E. I., Avtomodelnye resheniya zadach gazovoi dinamiki i teploperenosa, izd-vo MFTI, M., 1997, 240 pp.

[16] Volosevich P. P., Levanov E. I., Severina E. V., “Temperaturnye volny v dvizhuscheisya srede s uchetom relaksatsii potoka tepla”, Inzhenerno-fizicheskii zhurnal, 79:4 (2006), 57–68

[17] Volosevich P. P., Kurdyumov S. P., Busurina L. N., Krus V. P., “Reshenie odnomernoi ploskoi zadachi o dvizhenii porshnya v idealnom teploprovodnom gaze”, ZhVM i MF, 3:1 (1963), 159–169 | Zbl

[18] Samarskii A. A., Kurdyumov S. P., Volosevich P. P., “Beguschie volny v srede s nelineinoi teploprovodnostyu”, ZhVM i MF, 5:2 (1965), 199–217 | MR | Zbl

[19] Volosevich P. P., Levanov E. I., “Matematicheskoe modelirovanie dinamiki i nagreva plazmy s uchetom giperbolicheskogo teploperenosa”, Mezhdunarodnaya konferentsiya “Tikhonov i sovremennaya matematika”, Tezisy dokladov sektsii matematicheskoe modelirovanie, MGU, M., 2006, 183–184