This article is cited in 2 papers

Monotone mappings and flows of viscous media

V. S. Klimov

P. G. Demidov Yaroslavl State University

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.

Keywords: multivalued mapping, vector field, strain velocity deviator, stationary and periodic flows.

UDC: 517.5

Received: 11.12.2003

 English version: Siberian Mathematical Journal, 2004, 45:6, 1063–1074

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