Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MM_2008_20_5_a2, author = {E. S. Golodova and E. A. Shchepakina}, title = {Modelling of safe combustion with maximal temperature}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {55--68}, publisher = {mathdoc}, volume = {20}, number = {5}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2008_20_5_a2/} }
E. S. Golodova; E. A. Shchepakina. Modelling of safe combustion with maximal temperature. Matematičeskoe modelirovanie, Tome 20 (2008) no. 5, pp. 55-68. http://geodesic.mathdoc.fr/item/MM_2008_20_5_a2/
[1] A. B. Vasileva, V. F. Butuzov, Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vyssh. shk., M., 1990, 208 pp. | MR
[2] A. B. Vasileva, V. F. Butuzov, Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973, 272 pp. | MR
[3] E. Benoit, J. L. Calot, F. Diener, M. Diener, “Chasse au canard”, Collect. Math., 31:3 (1980)
[4] G. N. Gorelov, V. A. Sobolev, “Duck-trajectories in a thermal explosion problem”, Appl. Math. Lett., 5:6 (1992), 3–6 | DOI | MR | Zbl
[5] G. N. Gorelov, V. A. Sobolev, “Mathematical modeling of critical phenomena in thermal explosion theory”, Combust. Flame, 87 (1991), 203–210 | DOI
[6] E. F. Mischenko, Yu. S. Kolesov, A. Yu. Kolesov, N. Kh. Rozov, Periodicheskie dvizheniya i bifurkatsionnye protsessy v singulyarno vozmuschennykh sistemakh, Fizmatlit, M., 1995, 336 pp. | MR
[7] A. Yu. Kolesov, E. F. Mischenko, N. Kh. Rozov, “Reshenie singulyarno vozmuschennykh kraevykh zadach metodom “okhoty na utok””, Trudy MIAN, 224, 1999, 187–207 | MR | Zbl
[8] E. F. Mischenko, N. Kh. Rozov, Differentsialnye uravneniya s malym parametrom i relaksatsionnye kolebaniya, Nauka, M., 1975, 247 pp. | MR
[9] E. A. Schepakina, “Kriticheskie usloviya samovosplameneniya v poristoi srede”, Khimicheskaya fizika, 20:7 (2001), 3–9
[10] E. A. Schepakina, “Prityagivayusche-ottalkivayuschie integralnye poverkhnosti v zadachakh goreniya”, Matem. modelirovanie, 14:3 (2002), 30–42 | MR | Zbl
[11] E. A. Schepakina, “Singulyarnye vozmuscheniya v zadache modelirovaniya bezopasnykh rezhimov goreniya”, Matem. modelirovanie, 15:8 (2003), 113–117 | Zbl
[12] E. Shchepakina, “Black swans and canards in self-ignition problem”, Nonlinear Analysis: Real Word Applications, 4 (2003), 45–50 | DOI | MR | Zbl
[13] V. I. Arnold, V. S. Afraimovich, Yu. S. Ilyashenko, L. P. Shilnikov, “Teoriya bifurkatsii”, Dinamicheskie sistemy, Sovremennye problemy matematiki: Fundamentalnye napravleniya, 5, VINITI, M., 1986, 5–218 | MR
[14] Ya. B. Zeldovich, G. I. Barenblatt, V. B. Librovich, G. M. Makhviladze, Matematicheskaya teoriya goreniya i vzryva, Nauka, M., 1980, 478 pp. | MR
[15] A. G. Merzhanov, V. V. Barzykin, V. G. Abramov, “Teoriya teplovogo vzryva: ot N. N. Semenova do nashikh dnei”, Khim. fiz., 15:6 (1996), 3–44
[16] A. G. Merzhanov, F. I. Dubovitskii, “Sovremennoe sostoyanie teorii teplovogo vzryva”, Uspekhi khimii, 35:4 (1966), 656–683
[17] N. N. Semenov, O nekotorykh problemakh khimicheskoi kinetiki i reaktsionnoi sposobnosti, Izd-vo AN SSSR, M., 1954, 350 pp.
[18] N. N. Nefedov, K. R. Schneider, On immediate-delayed exchange of stabilities and periodic forced canards, prepr. no 872, WIAS, Berlin, 2003, 24 pp. | MR
[19] K. R. Schneider, E. A. Shchepakina, Maximal temperature of safe combustion in case of an autocatalytic reaction, prepr. no 890, Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin, 2003, 12 pp.