||Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving
Kagei, Yoshiyuki ,
Oomachi, RyoutaOmachi, 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.