Pontryagin's maximum principle is used to solve the problem of bringing a rotating rigid body to rest in minimum time.doi:10.1007/BF01535513G. R. WalshKluwer Academic PublishersJournal of Engineering MathematicsG. R. Walsh, Time optimal rotational motion, Journ. Eng. Math. , 3 (1969) 95–...
The rotational motion of fractional Maxwell fluids in an infinite circular cylinder that applies a time-dependent but not oscillating couple stress to the fluid is investigated using the integral transform technique. Such a flow model was not analyzed in
The universal time is a progressive time, and a body’s life-span is an absolute quantity--an absolute period of time or interval, for instance, thinking about a star’s or a molecule’s life-span. Because we can not make certain when the universal time started, we are unable to utili...
The long-time rotational motion of a set of rigid bodies immersed in a viscous fluid is studied on the basis of the linearized Navier–Stokes equations. After an initial twist applied to one of the bodies the rotational motion of each of them decays at long times with a t - 5 / 2 lon...
yt-remote-fast-check-periodStores the user's video player preferences using embedded YouTube video Maximum Storage Duration: SessionType: HTML Local Storage yt-remote-session-appStores the user's video player preferences using embedded YouTube video Maximum Storage Duration: SessionType: HTML Local ...
In other words, we might envisage that at some time in the past, the value of f was slowly increased from 0→1. It then remained constant for an extended period, which includes the time of interest in this paper. At sometime in the future, it may be slowly decreased from 1→0, ...
Barycentric Coordinate Time (TCB), which is a coordinate time having its spatial origin at the solar system barycenter. TCB differs from TDB in rate. Sidereal Time, with unit of duration the period of the Earth's rotation with respect to a point nearly fixed with respect to the stars, is...
Firstly, a preliminarily chosen basis set \({\{{\chi }_{\mu }\}}\) is used for a short period of RT-TDHF/TDDFT calculation and \({\{{\chi }_{\mu }\}}_{{{\rm{trunc}}}\) is selected. An additional basis set containing diffuse functions (\({\{{\chi }_{\mu }\}}_{{...
(8.1.4), thenequation (8.1.3)is obtained. In (8.1.4), the temperature gradient induces heat flow after a delay of time τ and heat is released during a period of time, whereas, in the model (8.1.2), heat is released instantaneously after a lapse of time τ from the moment ...
In this paper, we address the space–time decay rates of solutions to the 3D compressible micropolar fluids system. The system is used to describe the motion of a variety of complex fluids composed of dipole elements such as suspensions, animal blood, and liquid crystals. For more details on...