Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Theoretical-group Approach to the Problem of the Compressible Fluid On Two-dimensional Subalgebras

Author(s):

V. G. Volkov

department of theoretical physics
Bashkir State Pedagogical University
October Revolution Str., 3-A, 450000, Ufa-center, Russia

theorphys@bspu.ru

Abstract:

The article take up two-dimensional subalgebras from optimum system of algebra L₁₃, which is deduce from the gas dynamics equations. We calculated invariants and constructed invariant submodels for two-dimensional subalgebras. Then invariant submodels are reduce to one of canonical types: evolutionary or stationary

Full text (pdf)