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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Trudy SVMO, 2009, Volume 11, Number 2, Pages 57–60 (Mi svmo183)

In Middle Volga Mathematical Society

On a construction of the extended characteristic system for perfect gas of the elliptic type

S. N. Alekseenkoa, T. A. Shemyakinab

a Arzamas State Pedagogical Institute
b Saint-Petersburg State Polytechnical University

Abstract: In this paper the system of two quasilinear differential partial equations of the first order is investigated. Among other applications, it describes steady-stated non-vortex motion of the perfect gas at lack of friction and heat conduction in a neighborhood of a surface of passage from subsonic speeds to supersonic. The basic research technique is the method of additional argument. The considered system is reduced to the characteristic form when each equation contains derivatives only from one unknown function. For the system of equations in the characteristic form the extended characteristic system with additional argument is obtained. It is proved that at the special value of the additional argument a solution of the characteristic system gives a solution of the original equations.

Keywords: differential partial equations of the first order, the method of additional argument, the extended characteristic system.

UDC: 517.956



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