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2011, 2011(Special): 351-361. doi: 10.3934/proc.2011.2011.351

A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: Improved decay estimates of the velocity and its gradient

Paul Deuring 1, , Stanislav Kračmar 2, and  Šárka Nečasová 3,

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  July 2010 Revised  March 2011 Published  October 2011

We consider a linearization of a model for stationary incompressible viscous ow past a rigid body performing a rotation and a translation. Using a representation formula, we obtain pointwise decay bounds for the velocity and its gradient. This result improves estimates obtained by the authors in a previous article.
Keywords: rotating body, Navier-Stokes system, viscous incompressible ow, decay, fundamental solution.
Mathematics Subject Classification: Primary: 35Q30, 65N30; Secondary: 76D05.
Citation: Paul Deuring, Stanislav Kračmar, Šárka Nečasová. A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: Improved decay estimates of the velocity and its gradient. Conference Publications, 2011, 2011 (Special) : 351-361. doi: 10.3934/proc.2011.2011.351
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