Asymptotics of a self-similar solution to the piston problem in the case of cylindrical symmetry
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1676-1689 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the piston problem in gas dynamics, a high-order asymptotic expansion of the solution with respect to the viscosity and thermal conductivity is constructed and substantiated in the case of cylindrical symmetry.
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I. M. Troyanova; V. A. Tupchiev. Asymptotics of a self-similar solution to the piston problem in the case of cylindrical symmetry. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1676-1689. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a13/

[1] Rozhdestvenskii B. L., Yanenko H. H., Sistemy kvazilineinykh uravnenii i ikh prilozheniya v gazovoi dinamike, Nauka, M., 1978

[2] Konina H. H., Melnikova N. S., “O neustanovivshemsya dvizhenii gaza, vytesnyaemogo porshnem, bez ucheta protivodavleniya”, Prikl. matem. i mekhan., 22:4 (1958), 444–451

[3] Sedov L. I., Metod podobiya i razmernosti v mekhanike, Nauka, M., 1987 | MR

[4] Taylor J. I., “The propagation and decay of blast waves”, British Civilian Defence Res. Committee, 1944

[5] Trodzovskii G. L., “Avtomodelnoe dvizhenie gaza pri silnom periferiinom vzryve”, Dokl. AN SSSR, 111:5 (1956), 1276–1279

[6] Grigoryan S. S., “Zadacha Koshi i zadacha o porshne dlya odnomernykh neustanovivshikhsya dvizhenii gaza (avtomodelnye resheniya)”, Prikl. matem. i mekhan., 22:2 (1958), 179–187

[7] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR

[8] Volosevich P. P., Levanov E. I., Avtomodelnye resheniya zadach gazovoi dinamiki i teploperenosa, Nauka, M., 1997

[9] Tupniev V. A., Metod pogranichnykh funktsii, IATE, Obninsk, 1980

[10] Stanyukovich I. P., Neustanovivshiesya dvizheniya sploshnoi sredy, Nauka, M., 1955

[11] Korobeinikov V. P., Melnikova N. S., Ryazanov E. V., Teoriya tochechnogo vzryva, Nauka, M., 1961

[12] Antontsev C. H., Kazhikhov A. B., Monakhov V. N., Kraevye zadachi mekhaniki neodnorodnykh zhidkostei, Nauka, M., 1983 | Zbl

[13] Hoppenstead F., “Singular perturbations on infinite interval”, Trans. Amer. Math. Soc., 123:2 (1966), 521–535 | DOI | MR | Zbl