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Bingham Viscoplastic as a Limit of Non-Newtonian Fluids

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Abstract.

A new formulation is proposed for the equations of the Bingham viscoplastic. Global existence of x—periodic solutions is proved. A uniqueness theorem is established in the two-dimensional case. A relation with the G. Duvaut—J. L. Lions variational inequality is discussed, and a result on equivalence is obtained. The question of interaction between fluid-rigid phases is studied when the initial state is rigid. A free-boundary problem that describes two-phase one-dimensional flows is considered.

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Sciences, Lavrentyev pr. 15, Novosibirsk 630090, Russia, e-mail: shelukhin@hydro.nsc.ru, , , , , , RU

    V. V. Shelukhin

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  1. V. V. Shelukhin
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Accepted: July 19, 2001

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Shelukhin, V. Bingham Viscoplastic as a Limit of Non-Newtonian Fluids. J. math. fluid mech. 4, 109–127 (2002). https://doi.org/10.1007/s00021-002-8538-7

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  • DOI: https://doi.org/10.1007/s00021-002-8538-7

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