Abstract: | Self-similar one-dimensional solutions of the Leibenzon equation c2t=
zz
k
(z 0, k 2) are considered. Approximate solutions are constructed for the two cases in which the initial value = 1 = const > 0 and on the boundary either a constant value = 2 < 1 is maintained or the flow (directed outwards) is given. In the first problem the dependence of the boundary flow on the governing parameters is determined. A characteristic property of the types of motion in question is the existence near the boundary of a region, expanding with time, in which the flow is almost independent of the coordinate.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 145–150, September–October, 1991. |