Space-Lagrangian random walk models conceptualize advective transport in heterogeneous media terms of collections particles undergoing fixed-length steps along flow streamlines. We study the impact velocity correlation structure on longitudinal dispersion for different point statistics. find that asymptotic equivalence requires step length an uncorrelated continuous time to be higher than when ...

in this paper we consider a petrovsky viscoelastic inverse source problem with memory term in the boundary condition. we obtain sufficient conditions on relaxation function and initial data for which the solutions of problem are asymptotically stable when the integral overdetermination tends to zero as time goes to infinity.

this note introduces a new general conjecture correlating the dimensionality dt of an infinitelattice with n nodes to the asymptotic value of its wiener index w(n). in the limit of large nthe general asymptotic behavior w(n)≈ns is proposed, where the exponent s and dt are relatedby the conjectured formula s=2+1/dt allowing a new definition of dimensionality dw=(s-2)-1.being related to the topol...

the age and growth of the persian sturgeon, acipenser persicus, obtained from the iranian coastal waters of the caspian sea, were studied through analysis of the pectoral fin ray section from 180 specimens, ranging in fork length (fl) from 66 to 203 cm. the specimens were obtained from commercial fisheries between october 2008 and june 2010. interpretation of growth bands in the pectoral fin ra...

the purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of sturm-liouville problem with equation of the form w??=(?2f(x)?r(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in c2(a,b which has a single zero (so called turning point) at point 0x=x and r(x) is a continuously differentiable function. ...

We consider the distribution of the length of the longest subsequence avoiding an arbitrary pattern, π, in a random permutation of length n. The well-studied case of a longest increasing subsequence corresponds to π = 21. We show that there is some constant cπ such that as n → ∞ the mean value of this length is asymptotic to 2 √ cπn and that the distribution of the length is tightly concentrate...

in this study, some of biological parameters of vimba vimba from february 2009 to june 2010 were examined. in total, 281 fish samples were caught by gill- net. in two regions had of five age groups that, the most frequent age groups were related to 2+. sex ratio of male to female were in gorganrud population 67% ? to 33% ? and in mahmoudabad population 57% ? to 43% ? (p?0.05). there was no sign...

A queueing system (M/G1,G2/1/ ) is considered in which the service time of a customer entering service depends on whether the queue length, , is above or below a threshold . The arrival process is Poisson and the general service times 1 and 2 depend on whether the queue length at the time service is initiated is or , respectively. Balance equations are given for the stationary probabilities of ...

The hydrodynamic force experienced by a spherical-cap drop moving on a solid surface is obtained from two approximate analytical solutions and used to predict the quasi-steady speed of the drop in a wettability gradient. One solution is based on approximation of the shape of the drop as a collection of wedges, and the other is based on lubrication theory. Also, asymptotic results from both appr...