Unsteady flow of Bingham fluid in a thin layer with mixed boundary conditions

Yassine Letoufa, Hamid Benseridi, Tedjani Hadj Ammar

Abstract


In this paper we consider the dynamic system for Bingham fluid in a three-dimensional thin domain with Fourier and Trescaboundary condition. We study the existence and uniqueness results for the weak solution, then we establish its asymptotic behavior, when the thickness of the thin domain tends to zero. This study yields a low-dimensional mechanical laws that give a new description to this system.

Keywords


Mixed boundary problems, Bingham fluid, Lubrication problem, A priori estimates

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2022.4.08

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