In this paper, we study the asymptotic behaviour of a parabolic optimal control problem in a domain Ωε ⊂ Rn , whose boundary ∂Ωε contains a highly oscillating part. We consider this problem with two different classes of Dirichlet boundary controls, and, as a result, we provide its asymptotic analysis with respect to the different topologies of homogenization. It is shown that the mathematical d...

For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all...

Abstract. We consider the incompressible, two dimensional Navier Stokes equation with periodic boundary conditions under the effect of an additive, white in time, stochastic forcing. Under mild restrictions on the geometry of the scales forced, we show that any finite dimensional projection of the solution possesses a smooth density with respect to Lebesgue measure. We also show that under natu...

We calculate finite-size scaling functions ~FSSF’s! of Binder parameter g and magnetization distribution function p(m) for the Ising model on L13L2 square lattices with periodic boundary conditions in the horizontal L1 direction and tilted boundary conditions in the vertical L2 direction such that the ith site in the first row is connected with the mod(i1cL1 ,L1)th site in the L2 row of the lat...

IT outsourcing success depends on efficient management of client-vendor relationships, wherein, boundary spanners play a crucial role. Boundary spanners are individuals, who operate at the boundary of an organization, performing relevant tasks (Leifer & Delbecq, 1978). In this research we use a qualitative case research method to address the research question “How do boundary spanners influence...

In this paper we investigate numerically positive solutions of the equation −Δu = λu+u with Dirichlet boundary condition in a boundary domain Ω for λ > 0 and 0 < q < 1 < p < 2∗, we will compute and visualize the range of λ, this problem achieves a numerical solution. Keywords—positive solutions; concave-convex; sub-supersolution method; pseudo arclength method.

Existence and stability of travelling waves are conveniently studied on unbounded domains , for instance, on the real line. Motivated by numerical and experimental studies, we investigate the eeects of truncating the unbounded domain to a large but bounded domain. It is shown that periodic boundary conditions accurately reproduce the L 2-spectrum of the unbounded domain, whereas separated bound...

L denotes the classical curve length, s is the arc-length parameter, and Γ : [0, L]→ Ω is a curve with non-vanishing velocity vector. κ is the curvature and α , β are two positively weighted functions computed by the optimally oriented flux filter [2]. Our first step is to cast the elastica energy (5) in the form of path length with respect to a degenerate Finsler metric. For that purpose, let ...

We examine the scattering from cylindrically periodic engine-like structures using integral-equation methods. The periodic scatterer is enclosed in a cylindrical waveguide, and the primary goal of this paper is to show that this type of geometry affords substantial computational reductions by exploiting the periodicity of the blade structure and characteristics of the modal scattering matrix of...

Stability analysis of the numerical Method of characteristics applied to energy-preserving systems. Abstract We show that imposition of non-periodic, in place of periodic, boundary conditions (BC) can alter stability of modes in the Method of characteristics (MoC) employing certain ordinary-differential equation (ODE) numerical solvers. Thus, using non-periodic BC may render some of the MoC sch...