@article{oai:nagoya.repo.nii.ac.jp:00025135,
author = {Hishida, Toshiaki and Silvestre, Ana Leonor and Takahashi, Takeo},
issue = {6},
journal = {Annales de l'Institut Henri Poincaré C, Analyse non linéaire},
month = {Dec},
note = {Consider a rigid body S⊂R^3 immersed in an infinitely extended Navier–Stokes fluid. We are interested in self-propelled motions of S in the steady state regime of the system rigid body-fluid, assuming that the mechanism used by the body to reach such a motion is modeled through a distribution of velocities
v□ on ∂S. If the velocity V of S is given, can we find
v□ that generates V? We show that this can be solved as a control problem in which
v□ is a six-dimensional control such that either
Suppv□⊂Γ, an arbitrary nonempty open subset of ∂Ω, or
v□⋅n|∂Ω=0. We also show that one of the self-propelled conditions implies a better summability of the fluid velocity.},
pages = {1507--1541},
title = {A boundary control problem for the steady self-propelled motion of a rigid body in a Navier–Stokes fluid},
volume = {34},
year = {2017}
}