The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework

M Hieber, Y Shibata - Mathematische Zeitschrift, 2010 - Springer
Mathematische Zeitschrift Page 1 Math. Z. (2010) 265:481–491 DOI 10.1007/s00209-009-0525-8
Mathematische Zeitschrift The Fujita–Kato approach to the Navier–Stokes equations in the …

L p -L q Estimate of the Stokes Operator and Navier–Stokes Flows in the Exterior of a Rotating Obstacle

T Hishida, Y Shibata - Archive for rational mechanics and analysis, 2009 - Springer
We consider the motion of a viscous fluid filling the whole three-dimensional space exterior
to a rotating obstacle with constant angular velocity. We develop the L pL q estimates and …

[HTML][HTML] The influence of boundary conditions on the contact problem in a 3D Navier–Stokes flow

D Gérard-Varet, M Hillairet, C Wang - Journal de Mathématiques Pures et …, 2015 - Elsevier
We consider the free fall of a sphere above a wall in a viscous incompressible fluid. We
investigate the influence of boundary conditions on the finite-time occurrence of contact …

Existence of time-periodic solutions to the Navier–Stokes equations around a moving body

G Galdi, A Silvestre - Pacific journal of mathematics, 2006 - msp.org
Pacific Journal of Mathematics Page 1 Pacific Journal of Mathematics EXISTENCE OF TIME-PERIODIC
SOLUTIONS TO THE NAVIER–STOKES EQUATIONS AROUND A MOVING BODY GIOVANNI …

Lp-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle

M Geissert, H Heck, M Hieber - 2006 - degruyter.com
Consider the equations of Navier-Stokes in the exterior of a rotating domain. It is shown that,
after rewriting the problem on a fixed domain Ω, the solution of the corresponding Stokes …

The steady motion of a Navier–Stokes liquid around a rigid body

GP Galdi, AL Silvestre - Archive for rational mechanics and analysis, 2007 - Springer
Let R be a body moving by prescribed rigid motion in a Navier–Stokes liquid L that fills the
whole space and is subject to given boundary conditions and body force. Under the …

Well posedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid

P Cumsille, T Takahashi - Czechoslovak Mathematical Journal, 2008 - Springer
In this paper, we consider the interaction between a rigid body and an incompressible,
homogeneous, viscous fluid. This fluid-solid system is assumed to fill the whole space ℝ d …

Lq estimates of weak solutions to the stationary Stokes equations around a rotating body

T Hishida - Journal of the Mathematical Society of Japan, 2006 - jstage.jst.go.jp
We establish the existence, uniqueness and Lq estimates of weak solutions to the stationary
Stokes equations with rotation effect both in the whole space and in exterior domains. The …

Stationary Navier-Stokes flow around a rotating obstacle

R Farwig, T Hishida - Funkcialaj Ekvacioj, 2007 - jstage.jst.go.jp
Consider a viscous incompressible fluid filling the whole 3-dimensional space exterior to a
rotating body with constant angular velocity o. By using a coordinate system attached to the …

On the spectrum of a Stokes-type operator arising from flow around a rotating body

R Farwig, J Neustupa - manuscripta mathematica, 2007 - Springer
We present the description of the spectrum of a linear perturbed Stokes-type operator which
arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating …