Vladislav Bytev (Tyumen State University, Russia)

About constitutives equations for continuum media

The system of differential equations which describes the motion of continuum media of gas, liquid, etc., is considered. Solving the problems of its group classification and finding group equivalence, we obtained all the state equations which lead to the expansion of the main group G assumed by the arbitrary elements P, F, H. As an example, it had been examined a two-viscosity, incompressible liquids model.