Semi-Analytical Methods in the Problem of Deformation of a Fluid Strip

A problem from a class of unsteady plane potential flows with free boundary is considered. The entire occupied by the liquid free, and zero pressure maintained. There are neither external nor capillary forces. motion driven inertia. parameters prescribed at initial time velocity field domain fluid. task to determine these subsequent instants. solution sought in form power series, which then summed up use Pade approximation.