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We present pointwise space-time decay estimates for the velocity part ofsolutions to the time-dependent Oseen system in 3D, with Dirichlet boundaryconditions and vanishing velocity at infinity. In addition, similar estimatesare derived for solutions to the time-dependent incompressible Navier-Stokessystem with Oseen term, and for solutions to the stability problem associatedwith the stationary incompressible Navier-Stokes system with Oseen term.

Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity