Heated until invariable temperature, geometrically irregular shallow shell of constant torsion blown by supersonic gas flow from one side of the main surfaces was considered. As the basis, a continual model of thermoelastic system “shell-ribs” was taken. Singular differential equations of dynamical thermostability of geometrically irregular shallow shell had summands containing “stretch-compression” and “shift’’ of the ribs. Tangential forces caused by heating of the shell and transversal strain were recorded by “piston theory” in a standard way.