Flow of plastically anisotropic layer between parallel planes in a domain with sink / I. A. Kiiko. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 3. P. 35-38 [Moscow Univ. Math. Bulletin. Vol. 68, N 3, 2013.].
A self-similar solution to the problem of flow of a plastically anisotropic layer between parallel planes in a region with a sink is constructed. The problem is reduced to an unstudied Riccati equation with a small parameter. The perturbation method is used to find two different solutions of the problem written in quadratures.
Key words: plastically anisotropic layer, sink, Riccati equation, perturbation method.