Preprint Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving

Kagei, Yoshiyuki  ,  Oomachi, Ryouta  ,  Omachi, Ryota

20152015-09-03 , Faculty of Mathematics, Kyushu University
Navier-Stokes system on the half space with periodically oscillating boundary has a time periodic solution which depends on time variable and vertical variable only. It is proved that the time periodic solution is asymptotically stable when the Reynolds number is sufficiently small; and the decay estimates of the perturbations are established in the frameworks of both strong and weak solutions.

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