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

Pages: 351 - 361, Issue Special, September 2011

 Abstract        Full Text (380.7K)              

Paul Deuring - Univ Lille Nord de France, 59000 Lille, France (email)
Stanislav Kračmar - Department of Technical Mathematics, Czech Technical University, Karlovo nám. 13, 121 35 Prague 2, Czech Republic (email)
Šárka Nečasová - Mathematical Institute of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Prague 1, Czech Republic (email)

Abstract: 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:  viscous incompressible ow, rotating body, fundamental solution, decay, Navier-Stokes system
Mathematics Subject Classification:  Primary: 35Q30, 65N30; Secondary: 76D05

Received: July 2010;      Revised: March 2011;      Published: October 2011.