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

Paul Deuring (1)

1 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville

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.

Mots clés: Incompressible Navier-Stokes system; Oseen term; decay

Domaines: Equations aux dérivées partielles [math.AP]

Paul Deuring. Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity. 2017. ⟨hal-01581730⟩