Synthesis on the existence/non-existence of multiple solutions for an unsteady non-rotating shrinking disk flow

Results of studying the problem of an unsteady fluid flow along an instantaneously stretching (shrinking) non-rotating disk with an infinite radius are reported. The velocity of the shrinking disk surface is chosen in such a way that the problem allows the existence of an exact similarity solution. The original problem is reduced to an initial-value problem, which is solved numerically by using the shooting and Newton–Raphson methods. A detailed study of the existence and uniqueness of the solution is performed.