The Application of a System REDUCE for the Construction of the Solutions of Gas
Dynamics Equations by the Method of differential Constraints
Date: July 17th (Wednesday)
Time: ??.??
Abstract
The REDUCE was used for finding the compatibility conditions of
overdetermined system of differential equations. Such systems are obtained in the
applications of the method of differential constraints to the two-dimensional gas dynamics
equations. In the given case, the REDUCE system was used for symbolic manipulations
according to the algorithm of compatibility analysis: various substitutions, solving the
systems of linear algebraic equations, various transformations of equations. Finally, a
classification of the solutions satisfying additionally to one, two or three differential
constraints of the first order was performed for two-dimensional stationary equations of gas
dynamics. The solutions of gas dynamics equations are constructed by an integration of
obtained overdetermined equations. Such solutions are interesting for the applications.
