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We present pointwise space–time decay estimates for the velocity part of solutions to the time-dependent Oseen system in 3D, with Dirichlet boundary conditions and vanishing velocity at infinity. In addition, similar estimates are derived for solutions to the time-dependent incompressible Navier–Stokes system with Oseen term, and for solutions to the stability problem associated with 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