О ЕДИНСТВЕННОСТИ РЕШЕНИЯ ЗАДАЧИ ТРИКОМИ ДЛЯ УРАВНЕНИЯ ЧАПЛЫГИНА В СПЕЦИАЛЬНОЙ ОБЛАСТИJournal: International Scientific Journal "Internauka" (Vol.1, No. 22)
Publication Date: 2016-12-31
Authors : Akimov A. A.;
Page : 135-137
Keywords : method of auxiliary functions; Chaplygin equation of the Tricomi problem; an equation of mixed type;
In this paper we consider the Tricomi problem in a mixed domain for the Chaplygin equation. Frankl was first which showed that the problem of the expiry of a supersonic jet from a vessel with plane walls (inside subsonic speed of the vessel) in the hodograph plane is reduced to the Tricomi problem for Chaplygin equation. In the method of auxiliary functions we received a new theorem of uniqueness of the solution of this problem with the Frankl condition in a new domain, without any restrictions, except the smoothness on the elliptical part of the border domain.
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