June  2010, 3(2): 237-253. doi: 10.3934/dcdss.2010.3.237

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

1. 

Univ Lille Nord de France, 59000 Lille, 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

Received  March 2009 Revised  July 2009 Published  April 2010

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.
Citation: Paul Deuring, Stanislav Kračmar, Šárka Nečasová. A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies. Discrete and Continuous Dynamical Systems - S, 2010, 3 (2) : 237-253. doi: 10.3934/dcdss.2010.3.237
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