On the flow of a viscoplastic fluid in a thinperiodic domain
Résumé
We study the steady nonlinear flow of an incompressible viscoplastic Bingham fluid in a thin periodic domain. A main feature of our study is the dependence of the yield stress of the fluid on the small parameter ε describing the geometry of the thin periodic domain. The passage to the limit when ε tends to zero provides a limit problem preserving the nonlinear character of the flow.
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