The transient drift di usion model describing the charge transport in semiconductors is con sidered Poisson s equation which is usually used is replaced by Maxwell s equations The di usion and mobility coe cients and the dielectric and magnetic susceptibilities may depend on the space variables Global existence and convergence to the thermal equilibrium is shown

We present a uni ed anisotropic geometric di usion PDEmodel for smoothing (fairing) out noise both in triangulated 2-manifold surface meshes in IR and functions de ned on these surface meshes, while enhancing curve features on both by careful choice of an anisotropic di usion tensor. We combine the C limit representation of Loop's subdivision for triangular surface meshes and vector functions o...

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]).

The aim of this paper is to discuss di erent couplings between di usion, recrystallisation/grain growth, strain/stress, heat transfer and thermo-mechanical behaviour of metallic materials. The understanding of these di erent physical phenomena is needed to predict the long-term life of mechanical parts in components. Some results are presented and further studies are suggested to improve the ev...

ÐBoth experimental and simulation results have indicated the deviation from Arrhenius law of the di€usion coecient of hydrogen in metallic glasses. This deviation was traditionally explained by the existence of various kinds of jumps or in terms of continuous distributions of activation energies due to di€erent kinds of disorder. A new model is suggested, which relates this deviation to the te...

A di usion model of the roundtrip time experienced by packets on the Internet is developed. The parameters of the di usion system are modeled as Markov processes. The transition probabilities of the parameters are modeled with a mixture of Laplace distributions. The stationary distributions of the parameters are modeled as Normal distributions. The results show that the model is able to reprodu...

We compared the behavior of the Hodgkin}Huxley (HH) model subjected to two input regimes: "rstly, discrete pulses from a Poisson process, and then to a di!usion approximation, constructed to share statistical properties with the discrete pulse input. The results show that under a wide range of physiologically plausible input conditions the di!usion process is equivalent to the pulse process, in...

We study a singular di$usion on Euclidean space which is characterized by the solution of a classical Itô stochastic di$erential equation in which the di$usion coe2cient is not necessarily of full rank. Our motivation is in earlier results of Basak (J. Multivariate Anal. 39 (1991) 44) and Basak and Bhattacharya (Ann. Probab. 20 (1992) 312), who establish su2cient conditions for singular di$usio...

In this paper, a digital halftoning method is proposed to di use error with a more symmetric error distribution by making use of the concept of multiscale error di usion. It can improve the di usion performance by e ectively reducing directional hysteresis. The di usion is roworiented rather than frame-oriented and hence can reduce the latency and a lot of computation e ort as compared with con...

The safe and economic operation of nuclear power plants (NPPs) requires that the behaviour and performance of the fuel can be calculated reliably over its expected lifetime. This requires highly developed codes that treat the nuclear fuel in a general manner and which take into account the large number of in uences on fuel behaviour, e.g. thermal, mechanical, chemical, etc. Although many mature...