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

Article Contents

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: March 2009

Revised: July 2009

Published: June 2010

Abstract Related Papers Cited by

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.

Keywords:

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

Citation:

Article Metrics

HTML views() PDF downloads(129) Cited by(0)

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

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

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

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content