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. 72, N 2, 2017. P. 0].

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.