ON THE SOLVABILITY OF STEADY-STATE TRANSONIC EQUATIONS IN AN UNBOUNDED DOMAIN

Solvability of a boundary value problem in an infinite cylinder is proved for an equation modelling steady-state transonic flows of a chemical mixture: (1)(2)where , , and is a positive parameter. Conditions on are established under which there exists a classical solution of problem (1), (2) which is unique up to an additive constant.