A general uid moment in the particle coordinates is represented in terms of uid moments in modied guiding-centre coordinates with strong E × B ow derived by the phase space Lagrangian Lie-transform method [N. Miyato et al., J. Phys. Soc. Jpn. 78, 104501 (2009)]. It is called the push-forward representation of the particle uid moment associated with the guiding-centre transformation. The re...

In this paper we explore how far the post-Newtonian theory, [9] goes in overcoming the difficulties associated with anisotropic homogeneous cosmologies in the Newtonian approximation. It will be shown that, unlike in the Newtonian case, the cosmological equations of the post-Newtonian approximation are much more in the spirit of general relativity with regard to the nine Bianchi types and issue...

We consider a composite lm/penetration model; for simplicity of exposition we describe this only for the single component (scalar) case. Thus, we have a ``lm' of uid (adjacent to an interface | say, the gas//uid interface of a bubble) whose thickness has been normalized to 1 so we take the variable 1

A numerical method for modeling time-dependent viscoelastic uid ow, Abstract A numerical method to solve a system of partial diierential equations (PDE), modeling time-dependent viscoelastic uid ow, is developed. The Upper Con-vected Maxwell (UCM) model, and the related Oldroyd-B and Giesekus models are used as constitutive equations, and a linear equation of state allows the uid to be slightly...

Calcium channel blockers (CCBs) blunt postural skin vasoconstriction, an autoregulatory mechanism that minimizes gravitational increases in capillary pressure and avoids fluid extravasation when standing. To evaluate the dose-response relation between this pharmacological interference and dependent edema, a frequent side effect of CCBs during antihypertensive treatment, skin blood flow (laser D...

We consider a nonstationary Markov multiserver queueing model where waiting customers may abandon and subsequently retry. In this paper we derive uid and di usion approximations for the associated waiting time process. The uid and di usion approximations for the corresponding queue length process were obtained in [4] (see also [5]).

although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

We systematically derived hydrodynamic equations and transport coe cients for a class of multi-speed lattice Boltzmann models in D dimensions, using the multi-scale technique. The constitutive relation of physical uid is recovered by a modi ed equilibrium distribution in Maxwell-Boltzmann type. With the use of the rest particles and the particle reservoir, we were able to add one degree of free...

In this paper, we propose a systematic search method for finding the impossible differential characteristic for block cipher structures, better than the U-method introduced by Kim et al [6]. This method is referred as unified impossible differential (UID) cryptanalysis. We give practical UID cryptanalysis on some popular block ciphers and give the detailed impossible differential characteristic...

In this general lecture, we shall rst outline the way computational non-Newtonian uid mechanics di ers from conventional CFD. We do this by brie y outlining the major historical developments in this relatively new eld of science, which is conveniently called Computational Rheology. To illustrate essential features, we limit the discussion to the Oldroyd B, UCM and Phan-Thien/Tanner constitutive...