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Pointwise Decay in Space and in Time for Incompressible Viscous Flow Around a Rigid Body Moving with Constant Velocity

  • Paul DeuringEmail author
Article
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Abstract

We present pointwise space–time decay estimates for the velocity part of solutions to the time-dependent Oseen system in 3D, with Dirichlet boundary conditions and vanishing velocity at infinity. In addition, similar estimates are derived for solutions to the time-dependent incompressible Navier–Stokes system with Oseen term, and for solutions to the stability problem associated with the stationary incompressible Navier–Stokes system with Oseen term.

Keywords

Incompressible Navier–Stokes system Oseen term Decay 

Mathematics Subject Classification

35Q30 65N30 76D05 

Notes

Compliance with Ethical Standards

Conflict of interest

The author declares that he has no conflict of interest.

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Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Pures et Appliquées Joseph LiouvilleUniversité du Littoral Côte d’OpaleCalaisFrance

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