Unsteady flow of Bingham fluid in a thin layer with mixed boundary conditions
DOI:
https://doi.org/10.24193/subbmath.2022.4.08Keywords:
Mixed boundary problems, Bingham fluid, lubrication problem, a priori estimates.Abstract
In this paper we consider the dynamic system for Bingham fluid in a three-dimensional thin domain with Fourier and Tresca boundary condition. We study the existence and uniqueness results for the weak solution, then we establish its asymptotic behavior, when the depth of the thin domain tends to zero. This study yields a mechanical laws that give a new description of the behavior this system.
Mathematics Subject Classification (2010): 35B40, 47A52, 76D20.
Received 21 February 2020; Accepted 17 May 2020.
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