A. Yu. Chebotarev, A. A. Illarionov, E. V. Amosova, “Variational inequalities, boundary – value problems and optimal control for the Navier – Stokes equations”, Dal'nevost. Mat. Zh., 2008, Volume 8, Number 1,Pages <nobr>121

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Variational inequalities, boundary – value problems and optimal control for the Navier – Stokes equations

A. Yu. Chebotarev, A. A. Illarionov, E. V. Amosova

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: The survey of results in the mathematical hydrodynamics by mathematical modeling laboratory of IAM FEB RAS is considered. The statements of the some open problems for the Navier – Stokes equations is discussed.

Key words: Navier – Stokes equations, variational inequalities, the solvability of the boundary – value problems, optimality conditions.

UDC: 517.95

MSC: Primary 49J20; Secondary 76B75 35K85

Received: 25.11.2008