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Study of Stokes dynamical system in a thin domain with Fourier and Tresca boundary conditions
- Y. Letoufa,
- H. Benseridi, and
- M. Dilmi
Asian-European Journal of Mathematics07 Aug 2019
Preview Abstract
Asymptotic analysis of an incompressible Stokes fluid in a dynamic regime in a three-dimensional thin domain $Ω^{𝜀}$ $Ω^{𝜀}$ with mixed boundary conditions and Tresca friction law is studied in this paper. The problem statement and variational formulation of the problem are reformulated in a fixed domain. In which case, the estimates on velocity and pressure are proved. These estimates will be useful in order to give a specific Reynolds equation associated with variational inequalities and prove the uniqueness.

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