25 citations · 55 across the 11 of their papers we have counts for
13 papers
Large time decay of the Oseen flow in exterior domains subject to the Navier slip-with-friction boundary condition
Toshiaki Hishida
Consider the motion of a viscous incompressible fluid filling a 3D exterior domain subject to the Navier slip-with-friction boundary condition as well as outflow at infinity. F…
The transition problem between time-independent motions of a body in a viscous liquid
Giovanni P. Galdi, Toshiaki Hishida
A body moves in an unbounded Navier-Stokes liquid by time-independent translatory motion. Suppose that at time , smoothly changes its motion to an ar…
Regularity properties of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes initial value problem
Yosuke Asami, Toshiaki Hishida
Consider a generalized Oseen evolution operator in 3D exterior domains, that is generated by a non-autonomous linearized system arising from time-dependent rigid motions. This was…
Stability of time-dependent motions for fluid-rigid ball interaction
Toshiaki Hishida
We aim at the stability of time-dependent motions, such as time-periodic ones, of a rigid body in a viscous fluid filling the exterior to it in 3D. The fluid motion obeys the incom…
Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle
Toshiaki Hishida
We study the spatial decay of time-periodic Navier-Stokes flow at the rate with/without wake structure in 3D exterior domains when a rigid body moves periodically in tim…
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…
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…
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…
On the asymptotic structure of steady Stokes and Navier-Stokes flows around a rotating two-dimensional body
Toshiaki Hishida, Mads Kyed
We establish pointwise decay estimates for the velocity field of a steady two-dimensional Stokes flow around a rotating body via a new approach rather than analysis adopted in the…
Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle
Toshiaki Hishida
Consider the motion of a viscous incompressible fluid in a 3D exterior domain when a rigid body moves with prescribed time-dependent translational and angular velocities. For the l…
Navier-Stokes flow past a rigid body: attainability of steady solutions as limits of unsteady weak solutions, starting and landing cases
Toshiaki Hishida, Paolo Maremonti
Consider the Navier-Stokes flow in 3-dimensional exterior domains, where a rigid body is translating with prescribed translational velocity with constant vector $u_…
Asymptotic structure of steady Stokes flow around a rotating obstacle in two dimensions
Toshiaki Hishida
This paper provides asymptotic structure at spatial infinity of plane steady Stokes flow in exterior domains when the obstacle is rotating with constant angular velocity. The resul…
Stability of time-dependent Navier-Stokes flow and algebraic energy decay
Toshiaki Hishida, Maria Elena Schonbek
Let be a given time-dependent Navier-Stokes flow of an incompressible viscous fluid in the whole space (). Assume such to be small in $L^\infty(0,\infty; L^{n,\infty…