THE THEOREM OF EXISTENCE AND UNIQUENESS OF SOLUTION FOR INITIAL BOUNDARY VALUE PROBLEM, DESCRIBING THE GAS FLOWS UNDER THE FORCES OF GRAVITY AND THE CORIOLIS

Mezentsev A.V

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The existence and uniqueness of analytic solution for gas dynamic problem on break-up of special discontinuity are proved. This problem models the gas outflow into a vacuum. It deals with three-dimensional isentropic polytropic gas flow under the forces of gravity and the Coriolis. Assume that, at initial time a three-dimensional surface Г separates ideal politropic gas from a vacuum. At the same time, surface Г breaks instantly, and part of the gas flows into a vacuum. Disturbances occurred in the background during the instant destruction of the surface, shall be distributed in the form of waves of rarefaction. The wave of rarefaction is separated from the background of the border Г1 surface of weak discontinuity. The law of movement of Г1 is constructed. The theorem of existence and unique of solution for initial-boundary value problem, describing three-dimensional gas flows in the neighborhood of sound characteristic Г1 is proved. The proof of the theorem consist in reduce to the theorem of existence and unique of analitic solution for characteristic Cauchy problem in standart form.

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Мезенцев А.В ТЕОРЕМА СУЩЕСТВОВАНИЯ И ЕДИНСТВЕННОСТИ РЕШЕНИЯ НАЧАЛЬНО-КРАЕВОЙ ЗАДАЧИ, ОПИСЫВАЮЩЕЙ ТЕЧЕНИЯ ГАЗА В УСЛОВИЯХ ДЕЙСТВИЯ СИЛ ТЯГОТЕНИЯ И КОРИОЛИСА // Научное обозрение. Физико-математические науки . 2020. № 1. С. 41-41;
URL: https://physics-mathematics.ru/en/article/view?id=51 (дата обращения: 24.06.2026).