Bingham Viscoplastic as a Limit of Non-Newtonian Fluids

被引:0
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作者
V. V. Shelukhin
机构
[1] Lavrentyev Institute of Hydrodynamics,
[2] Siberian Division of Russian Academy of Sciences,undefined
[3] Lavrentyev pr. 15,undefined
[4] Novosibirsk 630090,undefined
[5] Russia,undefined
[6] e-mail: shelukhin@hydro.nsc.ru,undefined
关键词
Keywords. Viscous incompressible non-Newtonian fluid, weak existence, Stefan problem.;
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摘要
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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页码:109 / 127
页数:18
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