We investigate the properties of an abstract family advection diffusion equations in context fractional Laplacian. Two independent parameters enter system, one via constitutive law for drift velocity and as prefactor obtain existence convergence results certain parameter regimes limits. study long time behaviour solutions to general problem prove a unique global attractor. apply two particular ...

it is well-known that the behavior of soil-structure systems can be well described using a limited number of non-dimensional parameters. this is the outcome of researches based on the premise that the foundation is bonded to the ground. here, it is shown the concept can be extended to systems with foundation uplift. a set of non-dimensional parameters are introduced which controls the main feat...

erosion by wind is one of the most important factors in desert environment. prevailing winds can shift sand dunes and affect their accumulation. also, wind regime determines the direction of sand dune mobility. the aim of this research was to investigate sand drift potential using sand movement models. for this research, wind data between 1986 and 2005 from the meteorological station of yazd we...

We study the stability of the solutions of stochastic differential equations driven by fractional Brownian motions with Hurst parameter greater than half. We prove that when the initial conditions, the drift, and the diffusion coefficients as well as the fractional Brownian motions converge in a suitable sense, then the sequence of the solutions of the corresponding equations converge in Hölder...

We study a precise large deviation principle for a stationary regularly varying sequence of random variables. This principle extends the classical results of A.V. Nagaev [44] and S.V. Nagaev [45] for iid regularly varying sequences. The proof uses an idea of Jakubowski [28, 29] in the context of central limit theorems with infinite variance stable limits. We illustrate the principle for stochas...

This paper proposes an anti-islanding control for a grid connected distributed generation system. The proposed control is based on d-q frame. The scheme using current command reference as positive feedback is utilized to drift the PCC voltage beyond the threshold limits to detect islanding within 2 seconds as prescribed by IEEE 1547. The test system configuration and parameters for anti-islandi...

In this paper, measurements of ion mobility were performed in oxygen at gas pressures of 44.52 101.19 kPa using the drift tube method. Over this pressure range, mobility values were within the limits of 1.796 to 3.821 cm2·V·s were determined and ion mobility shown to decrease nonlinearly with increasing gas pressure towards a certain level of saturation. Ion mobility measured in air was lower t...

Consider a random walk S = (Sn : n ≥ 0) that is “perturbed” by a stationary sequence (ξn : n ≥ 0) to produce the process S = (Sn + ξn : n ≥ 0). This paper is concerned with developing limit theorems and approximations for the distribution of Mn = max{Sk + ξk : 0 ≤ k ≤ n} when the random walk has a drift close to zero. Such maxima are of interest in several modeling contexts, including operation...

We present an efficient and parsimonious algorithm to solve mixed initial/final-value problems. The algorithm optimally limits the memory storage and the computational time requirements: with respect to a simple forward integration, the cost factor is only logarithmic in the number of time-steps. As an example, we discuss the solution of the final-value problem for a Fokker–Planck equation whos...