Nonlinear Phenomena in Complex Systems, 2004, Vol.7, No.4, pp.332-346

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2004, Vol.7, No.4, pp.332-346

Model and Problem on Flow of Magnetorheological Fluid.
W.G. Litvinov

A model of magnetorheological fluid is developed and analyzed. The model takes into account the anisotropy of the magnetorheological fluids, non-symmetry of the stress tensor, and strongly nonlinear properties of these fluids. The general problem on unsteady flow of the magnetorheological fluid under nonhomogeneous mixed boundary conditions is studied. By using the methods of fixed point theory, monotonicity and compactness, the existence of a global solution of this problem and convergence of Galerkin approximations are proved.
Key words: discontinuous coefficients, difference scheme, iterative process, convergence

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