We study the asymptotic behavior of stochastic hyperbolic–parabolic equations with slow–fast time scales. Both strong and weak convergence in averaging principle are established. Then we fluctuations original system around its averaged equation. show that normalized difference converges weakly to solution a linear wave An extra diffusion term appears limit which is given explicitly terms Poisso...

The concept of configuration of groups which is defined in terms of finite partitions and finite strings of elements of the group is presented by Rosenblatt and Willis. To each set of configurations, a finite system of equations known as configuration equations, is associated. Rosenblatt and Willis proved that a discrete group G is amenable if and only if every possible instance of its configur...

Stochastic programming is a valuable optimization tool where used when some or all of the design parameters of an optimization problem are defined by stochastic variables rather than by deterministic quantities. Depending on the nature of equations involved in the problem, a stochastic optimization problem is called a stochastic linear or nonlinear programming problem. In this paper,a stochasti...

In this paper we discuss the derivation and use of local pressure boundary conditions for finite difference schemes for the unsteady incompressible Navier–Stokes equations in the velocity–pressure formulation. Their use is especially well suited for the computation of moderate to large Reynolds number flows. We explore the similarities between the implementation and use of local pressure bounda...

Fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional diff<span style="font-family: NimbusRomNo...

Symmetry is used to investigate the existence and stability of heteroclinic cycles involving steady-state and periodic solutions in coupled cell systems with Dn-symmetry. Using the lattice of isotropy subgroups, we study the normal form equations restricted to invariant fixed-point subspaces and prove that it is possible for the normal form equations to have robust, asymptotically stable, heter...

purpose : to assess the results of 1-minute and 5-minute schirmer&apos;s test (st) when the eyes are open (sto) and closed (stc) in normal participants. methods : in a comparative, observational case series study, 34 normal volunteers were included in the study. inclusion criteria were normal ophthalmologic findings except for refractive errors, no use of contact lenses, no history of previous ...

A separated boundary layer flow at the rear of a bump is considered and twodimensional flow states at increasing Reynolds numbers are computed using a nonlinear continuation procedure for the stationary Navier-Stokes system. The global instability analysis of the steady states is performed by computing two-dimensional temporal modes. The analysis reveals non-normal modes which are able to descr...

Current drug-eluting stent (DES) technology is not optimized with regard to the pharmacokinetics of drug release, more research on the <span style="font-size: 12pt; color: #000000; font-style: normal; ...