Far Eastern Mathematical Journal

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Method of order equations


R. G. Barantsev

2001, issue 2, Ñ. 5–9


Abstract
Asymptotic formulation of problems needs the knowledge of relative orders of perturbations. Therefore it is worth first to formulate and solve the problem on the level of exact orders of unknown quantities. Such a problem is simpler because it lays claim to a less information. And its solution enables us to formulate a well-founded problem on the level of asymptotic equality. We present this method in general case of the boundary problem for a system of quasilinear equations and demonstrate its application to some steady and unsteady problems of aerodynamics.

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References

[1] R. G. Barancev, I. A. Mixajlova, I. M. Citelov, “K opredeleniyu poryadka vozmushhayushhix funkcij v metode malyx vozmushhenij”, Inzhen. Zh-l, 1:2 (1961), 69–81.
[2] R. G. Barancev, Lekcii po transzvukovoj gazodinamike, LGU, L., 1965, 216 s.
[3] R. G. Barancev, Giperzvukovaya ae'rodinamika ideal'nogo gaza, LGU, L., 1983, 116 s.
[4] R. G. Barancev, S. B. Radzevich, “Asimptoticheskaya postanovka zadach o kolebaniyax kryla v transzvukovom potoke na razlichnyx intervalax chastot”, Asimptoticheskie metody v dinamike sistem, Irkutsk, 1985, 174–178.
[5] S. B. Radzevich, “K zadache potencial'nogo obtekaniya tonkogo koleblyushhegosya profilya sverxzvukovym potokom gaza”, Asimptoticheskie metody v teorii sistem, Irkutsk, 1990, 68–76.
[6] A. O. Lyubin, “Opredelenie poryadkov vozmushhenij pri obtekanii tonkogo koleblyushhegosya profilya ravnomernym giperzvukovym potokom”, Asimptoticheskie metody v teorii sistem, Irkutsk, 1976, 118–132.
[7] S. B. Radzevich, “K voprosu o nestacionarnom obtekanii tonkogo profilya transzvukovym potokom gaza”, Asimptoticheskie metody v teorii sistem, Irkutsk, 1989, 191–202.

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