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We consider a passive scalar in a periodic shear flow perturbed by an additive fractional noise with the Hurst exponent H ∈ (0, 1). We establish a diffusive homogenization limit for the tracer when th...
We consider the radial transport of test particles due to the E×B drift motion in the guiding center approximation. In a configuration where the magnetic field is constant and uniform in linear device...
In this work, we use a powerful analytical method called homotopy analysis method (HAM) to derive the frequency of a nonlinear oscillating system. Unlike the perturbation method, the HAM does not requ...
We study linear combinations of independent fractional Brownian motions and generalize several recent results from [10] and [17]. As a first new result we calculate explicitly the Hausdorff dimension ...
In this paper, we present some stochastic properties and characteristics of the fractional mixed fractional Brownian motion, and we study the α-differentiability of its sample paths.
One of the powerful analytical methods to solve partial differential equations is the Adomian decomposition method (ADM). This paper presents a novel approach for the dynamic analysis of a flexible pl...
The dimensions of the level sets of the generalized iterated Brownian motion.
Analytical solutions to the equations of motion of inclined unsagged cables have been obtained by using the Lie group theory. The infinitesimal generators corresponding to the problem are calculated a...
The flow separation (trapping) at the wall through peristaltic motion for non-Newtonian power-law fluid in uniform tube has been investigated under zero Reynolds number with long wavelength approximat...
We study the Abraham model for $N$ charges interacting with the Maxwell field. On the scale of the charge diameter, $R_{\phi}$, the charges are a distance $\eps^{-1}R_{\phi}$ apart and have a velocity...

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