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Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity. (English) Zbl 1284.35306
Summary: We consider a stationary viscous incompressible flow around a translating and rotating body. Optimal rates of decay are derived for the velocity and its gradient, on the basis of a representation formula involving a fundamental solution constructed by E. A. Thomann and R. B. Guenther [J. Math. Fluid Mech. 8, No. 1, 77–98 (2006; Zbl 1125.35076)], for a linearized system.

##### MSC:
 35Q30 Navier-Stokes equations 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 76D05 Navier-Stokes equations for incompressible viscous fluids 35Q35 PDEs in connection with fluid mechanics 35A08 Fundamental solutions to PDEs
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