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On well-posedness of Navier–Stokes variational inequalities
Journal article   Peer reviewed

On well-posedness of Navier–Stokes variational inequalities

Weimin Han and Yuan Yao
Applied mathematics letters, Vol.155, 109121
09/2024
DOI: 10.1016/j.aml.2024.109121

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Abstract

In this paper, well-posedness is carried out on variational inequalities in a general form for the stationary Navier–Stokes equations modeling viscous incompressible fluid flows with a nonsmooth slip boundary condition of friction type. For a special form of the variational inequality commonly studied in existing literature, our proof technique leads to a substantial improvement on the well-posedness condition.
Navier–Stokes equations Variational inequality Well-posedness

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