We consider the large time behavior of three-dimensional Navier-Stokes flow around a rotating rigid body. Assume that angular velocity body gradually increases until it reaches small terminal one at certain finite and is fixed afterwards. then show fluid motion converges to steady solution as t → ∞.

For a test body orbiting an axisymmetric body in Newtonian gravitational theory with mass m and multiple moments Q_{l} (and for a charge in orbit about a charge distribution with the same multipole moments) we show that there exists, in addition to the energy and angular momentum component along the symmetry axis, a conserved quantity analogous to the Carter constant of Kerr spacetimes for rota...

We construct solutions for the Navier-Stokes equations in three dimensions with a time periodic force which is of compact support in a frame that moves at constant speed. These solutions are related to solutions of the problem of a body which moves within an incompressible fluid at constant speed and rotates around an axis which is aligned with the motion. In contrast to other authors who anala...

A body moves in a medium composed of noninteracting point particles ; interaction of particles with the body is absolutely elastic. It is required to find the body's shape minimizing or maximizing resistance of the medium to its motion. This is the general setting of optimal resistance problem going back to Newton. Here, we restrict ourselves to the two-dimensional problems for rotating (genera...

OBJECTIVE To apply the real-time data collection and demonstration system for acupuncture manipulation to quantitative analysis of acupuncture manipulation for acupuncture teaching and research. METHODS The real-time observation and analysis of parameter changes of acupuncture manipulation were implemented by this system. RESULTS During the course of lifting and thrusting manipulation, the ...