Asymptotic method of decisions of the problem on mesometeorological solitary waves
News of the Kabardin-Balkar scientific center of RAS, no. 4 (2012), pp. 9-19.

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Full asymptotic method of decisions of a problem on wave processes in a stream of cold air mass of a final thickness over a horizontal spreading surface is being considered. Transformation of this problem into a problem, containing small parameter is presented at the senior derivative on one of variables. Asymptotic method of decisions of a problem is constructed and its qualitative research is done. The analysis of influence of disturbing factors is carried out: roughness (unevenness) of an underlying surface, decrease of air density with height and vertical wind shift on characteristics of wave processes.
Keywords: problems of wave processes, asymptotic method of decisions, atmospheric solitary waves, thermohydrodynamic characteristics, iterative process.
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B. A. Ashabokov; Kh. Kh. Kalazhokov; F. Kh. Uvizheva. Asymptotic method of decisions of the problem on mesometeorological solitary waves. News of the Kabardin-Balkar scientific center of RAS, no. 4 (2012), pp. 9-19. http://geodesic.mathdoc.fr/item/IZKAB_2012_4_a0/

[1] M. S. Afashagov, “K teorii uedinennykh voln v atmosfere”, Uch. zap. KBGU, 24 (1965)

[2] T. Z. Sokhov, L. N. Gutman, “O mezometeorologicheskikh uedinennykh volnakh”, Izvestiya AN SSSR. Fizika atmosfery i okeana, 4:3 (1968)

[3] M. S. Afashagov, “O vnutrennikh volnakh v neodnorodnoi atmosfere”, Izvestiya AN SSSR, 5:5 (1969)

[4] N. N. Moiseev, “Asimptoticheskie metody tipa uzkikh polos”, Nekotorye problemy matematiki i mekhaniki, Novosibirsk, 1961

[5] M. I. Vishik, L. A. Lyusternik, “Regulyarnoe vyrozhdenie i pogranichnyi sloi dlya lineinykh differentsirovannykh uravnenii s malym parametrom”, UMN, 12:5 (1957) | Zbl

[6] M. G. Dzhavadov, “Asimptotika resheniya kraevoi zadachi dlya ellipticheskogo uravneniya vtorogo poryadka v oblastyakh, u kotorykh odno izmerenie dostatochno malo v sravnenii s drugimi”, DAN SSSR, 160:3 (1965)