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math.AP2020
Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid
Toshiaki Hishida, Ana Leonor Silvestre, Takéo Takahashi
Consider a rigid body immersed in an infinitely extended Navier-Stokes liquid and the motion of the body-fluid interaction system described fro…
math.AP2020
Attainability of Time-Periodic flow of a Viscous Liquid Past an Oscillating Body
Giovanni P. Galdi, Toshiaki Hishida
A body is started from rest by translational motion in an otherwise quiescent Navier-Stokes liquid filling the whole space. We show, for small data, that if after some…
math.AP2019
Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains
Toshiaki Hishida
Let us consider the motion of a viscous incompressible fluid past a rotating rigid body in 3D, where the translational and angular velocities of the body are prescribed but time-de…