A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics |
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| Authors: | M V Urev Kh Kh Imomnazarov Jian-Gang Tang |
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| Institution: | 1.Institute of Computational Mathematics and Mathematical Geophysics,Siberian Branch, Russian Academy of Sciences,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia;3.Siberian Institute of Management,Russian Academy of National Economy and Public Administration,Novosibirsk,Russia;4.YiLi Normal University,Yinning Xinjiang,PR China |
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| Abstract: | In this paper, a two-velocity steady hydrodynamic system with a single pressure and inhomogeneous divergent and boundary conditions for two velocities is investigated. This system is overdetermined. By changing the sought-for functions, the problem is reduced to a homogeneous one. The resulting system is solved by consecutively solving two boundary value problems: a Stokes problem for one velocity and the pressure and an overdetermined system for the other velocity. Generalized statements of these problems and their discrete approximations using a finite element method are presented. A new regularization method is used to solve the overdetermined problem. |
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