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- Title
Study of generalized Stokes operator in a thin domain with friction law (case p < 2).
- Authors
Dilmi, Mohamed; Dilmi, Mourad; Benseridi, Hamid
- Abstract
In this work, we consider a mathematical model of an incompressible fluid governed by the generalized Stokes system in a stationary regime in a 3‐dimensional thin domain Ωϵ with Tresca friction law. The problem statement and variational formulation of the problem are formulated. Then the estimates on velocity and pressure are proved in a fixed domain. Finally, our main goal concerns the specific Reynolds equation and the uniqueness of the solution ûϵ,π^ϵ are obtained.
- Subjects
STOKES' theorem; OPERATOR theory; FRICTION; INCOMPRESSIBLE flow; REYNOLDS equations; UNIQUENESS (Mathematics)
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 18, p9027
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4876