About unsteady boundary layer on a dihedral angle

The considered unsteady flow of the viscous incompressible fluid is caused by the sudden motion of the dihedral angle with the constant velocity in the fluid being at rest. It is assumed, that the angle moves in the direction of the edge and the flow is layered. In the case of right dihedral angle, the analytic solution of the considered problem is obtained, while in the case of arbitrary angle the problem for a function of three independent variables is reduced to a boundary value problem for an ordinary differential equation. The asymptotic behaviour of the solution of this equation by corresponding boundary conditions is investigated.