Geodesic
A~semidiscrete method for solving equations of the one-dimensional motion of a~viscous heat-conducting gas with nonsmooth data. Regularity of solutions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (1999), pp. 12-25.

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A. A. Amosov; A. A. Zlotnik. A~semidiscrete method for solving equations of the one-dimensional motion of a~viscous heat-conducting gas with nonsmooth data. Regularity of solutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (1999), pp. 12-25. http://geodesic.mathdoc.fr/item/IVM_1999_5_a1/

[1] Amosov A. A., Zlotnik A. A., “Poludiskretnyi metod resheniya uravnenii odnomernogo dvizheniya neodnorodnogo vyazkogo teploprovodnogo gaza s negladkimi dannymi”, Izv. vuzov. Matematika, 1997, no. 4, 3–19 | MR | Zbl

[2] Zlotnik A. A., Amosov A. A., “Ob ustoichivosti obobschennykh reshenii uravnenii odnomernogo dvizheniya vyazkogo teploprovodnogo gaza”, Sib. matem. zhurn., 38:4 (1997), 767–789 | MR | Zbl

[3] Amosov A. A., Zlotnik A. A., “O svoistvakh obobschennykh reshenii odnomernykh lineinykh parabolicheskikh zadach s negladkimi koeffitsientami”, Differents. uravneniya, 33:1 (1997), 83–95 | MR | Zbl

[4] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967, 736 pp. | MR

[5] Amosov A. A., Zlotnik A. A., “Raznostnaya skhema dlya uravnenii odnomernogo dvizheniya vyazkogo barotropnogo gaza”, Vychisl. protsessy i sistemy, no. 4, ed. G. I. Marchuk, Nauka, M., 1986, 192–218 | MR

[6] Amosov A. A., Zlotnik A. A., “Zamechaniya o svoistvakh obobschennykh reshenii iz $V_2(Q)$ odnomernykh lineinykh parabolicheskikh zadach”, Vestn. Mosk. energ. in-ta, 1996, no. 6, 15–29 | MR

[7] Amosov A. A., Zlotnik A. A., “Obobschennye resheniya “v tselom” uravnenii odnomernogo dvizheniya vyazkogo teploprovodnogo gaza”, DAN SSSR, 301:1 (1988), 11–15 | Zbl

[8] Amosov A. A., Zlotnik A. A., “Svoistva “v tselom” kvaziosrednennykh uravnenii odnomernogo dvizheniya vyazkogo teploprovodnogo gaza”, Dokl. RAN, 346:2 (1996), 151–154 | MR | Zbl

[9] Antontsev S. N., Kazhikhov A. V., Monakhov V. N., Kraevye zadachi mekhaniki neodnorodnykh zhidkostei, Nauka, Novosibirsk, 1983, 320 pp. | MR | Zbl

[10] Amosov A. A., Zlotnik A. A., “A study of a finite-difference method for the one-dimensional viscous heat-conductive gas flow equations. Part 1: A priori estimates and stability”, Sov. J. Numer. Anal. and Math. Model., 2:3 (1987), 159–178 | MR | Zbl