Abstract:
We establish solvability of the boundary-value problems describing stationary and periodic flows of viscoplastic media. In the case of stationary flows we study the question of convergence of the Galerkin method. For the problem of periodic flows we prove a version of the second Bogolyubov theorem.
This publication is cited in the following 2 articles:
M. E. Bogovskii, L. Mantello, H. Yashima-Fujita, “Solution to the stationary problem of glacier dynamics”, Comput. Math. Math. Phys., 50:10 (2010), 1734–1745
Klimov V.S., “Periodic solutions of parabolic inclusions and the averaging method”, Differ Equ, 46:12 (2010), 1722–1730