Study of generalized Stokes operator in a thin domain with friction law (case  p  < 2) | Zendy

Dilmi Mohamed | Zendy; Dilmi Mourad | Zendy; Benseridi Hamid | Zendy

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Study of generalized Stokes operator in a thin domain with friction law (case p < 2)

Author(s) -

Dilmi Mohamed,

Dilmi Mourad,

Benseridi Hamid

Publication year - 2018

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4876

Subject(s) - mathematics , uniqueness , domain (mathematical analysis) , work (physics) , operator (biology) , compressibility , mathematical analysis , reynolds number , statement (logic) , variational inequality , law , turbulence , mechanics , physics , biochemistry , chemistry , repressor , gene , transcription factor , political science , thermodynamics

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 Ω ϵ 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 solutionû ϵ ,π ^ ϵare obtained.

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