A representation formula for linearizedstationary incompressible viscous flows around rotating andtranslating bodies

Paul Deuring; Stanislav Kračmar; Šárka Nečasová

doi:10.3934/dcdss.2010.3.237

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2010, Volume 3, Issue 2: 237-253. Doi: 10.3934/dcdss.2010.3.237

This issue Previous Article A challenging open problem: The inviscid limit under slip-type boundary conditions. Next Article An existence result for non-Newtonian fluids in non-regular domains

A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies

1.
Univ Lille Nord de France, 59000 Lille
2.
Department of Technical Mathematics, Czech Technical University, Karlovo nám. 13, 121 35 Prague 2
3.
Mathematical Institute of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Prague 1

Received: February 28, 2009

Revised: June 30, 2009

Published: May 2010

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Abstract

A Green's formula is proved for solutions of a linearized system describing the stationary flow of a viscous incompressible fluid around a rigid body which is rotating and translating. The formula in question is based on the fundamental solution obtained by integrating the time variable in the fundamental solution of the corresponding evolutionary problem.

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

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A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies

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