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

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.
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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