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Steady flow for incompressible fluids in domains with unbounded curved channels

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Abstract

We give an overview on the solution of the stationary Navier-Stokes equations for non newtonian incompressible fluids established by G. Dias and M.M. Santos (Steady flow for shear thickening fluids with arbitrary fluxes, J. Differential Equations 252 (2012), no. 6, 3873-3898), propose a definition for domains with unbounded curved channels which encompasses domains with an unbounded boundary, domains with nozzles, and domains with a boundary being a punctured surface, and argue on the existence of steady flowfor incompressible fluids with arbitrary fluxes in such domains.

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Authors and Affiliations

  1. UNICAMP (State University of Campinas), IMECC-Department of Mathematics Rua Sérgio Buarque de Holanda, 651, Cidade Universitária “Zeferino Vaz”, Distr. Barão Geraldo, 13083-859, Campinas, SP, Brasil

    Marcelo M. Santos

Authors
  1. Marcelo M. Santos
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Correspondence to Marcelo M. Santos.

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Santos, M.M. Steady flow for incompressible fluids in domains with unbounded curved channels. Bull Braz Math Soc, New Series 47, 745–752 (2016). https://doi.org/10.1007/s00574-016-0182-6

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  • DOI: https://doi.org/10.1007/s00574-016-0182-6

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