A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation

Paul Deuring; Stanislav Kračmar; Šárka Nečasová

doi:10.3934/dcds.2017057

Article Contents

2017, Volume 37, Issue 3: 1389-1409. Doi: 10.3934/dcds.2017057

This issue Previous Article Discrete conley index theory for zero dimensional basic sets Next Article Minimal subshifts of arbitrary mean topological dimension

A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation

1.
Univ. Littoral Côte d'Opale, Laboratoire de mathématiques pures et appliquées Joseph Liouville, F-62228 Calais, France
2.
Department of Technical Mathematics, Czech Technical University, Karlovo nám. 13, 121 35 Prague 2, Czech Republic
3.
Mathematical Institute of the Academy of Sciences of the Czech Republic, Žitná 25,115 67 Prague 1, Czech Republic

* Corresponding author
* Corresponding author

Received: February 2016

Revised: October 2016

Published: May 2017

The Š.N. was supported by Grant Agency of the Czech Republic P201-13-00522S.

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Abstract

We consider the Navier-Stokes system with Oseen and rotational terms describing the stationary flow of a viscous incompressible fluid around a rigid body moving at a constant velocity and rotating at a constant angular velocity. In a previous paper, we proved a representation formula for Leray solutions of this system. Here the representation formula is used as starting point for splitting the velocity into a leading term and a remainder, and for establishing pointwise decay estimates of the remainder and its gradient.

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Mathematics Subject Classification: Primary:35Q30, 76D05;Secondary:65N30.

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