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On the Flow of a Viscoplastic Fluid in a Thin Periodic Domain

  • María Anguiano
  • Renata BunoiuEmail author
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Abstract

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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Notes

Acknowledgements

María Anguiano has been supported by Junta de Andalucía (Spain), Proyecto de Excelencia P12-FQM-2466.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Universidad de SevillaSevillaSpain
  2. 2.Université de LorraineMetzFrance

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