Abstract
Two-dimensional boundary-value problems describing a slow stationary flow of Newtonian fluid are considered in the case where the dissipative potential is of power growth close to 2. The regularity of this problem is investigated under the condition that the dissipative potential depends only on the module of the strain velocity tensor. The integrability of the second-order derivatives of the solution is established near a plane part of the boundary. The Hölder continuity of the strain velocity tensor is also proved. Bibliography: 8 titles.
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