In this paper we propose a local orthogonal decomposition method (LOD) for elliptic partial differential equations with inhomogeneous Dirichlet and Neumann boundary conditions. For this purpose, we present new boundary correctors which preserve the common convergence rates of the LOD, even if the boundary condition has a rapidly oscillating fine scale structure. We prove a corresponding a prior...

The boundary layer problem for power-law fluid can be recast to a third-order p-Laplacian boundary value problem (BVP). In this paper, we transform the third-order p-Laplacian into a new system which exhibits a Lie-symmetry SL(3,R). Then, the closure property of the Lie-group is used to derive a linear transformation between the boundary values at two ends of a spatial interval. Hence, we can i...

Nonlinear two-dimensional Rayleigh–Bénard convection with periodic boundary conditions in the horizontal is studied for spatial periods near the 1:2 steady state mode interaction. The boundary conditions at the bottom are no-slip, and convection is driven by a fixed imposed temperature difference across the layer. Homotopic continuation is used to continue the boundary conditions at the top fro...

A method of workspace modelling for spherical parallel manipulators (SPMs) of symmetrical architecture is developed by virtue of Euler parameters in the paper. The adoption of Euler parameters in the expression of spatial rotations of SPMs helps not only to eliminate the possible singularity in the rotation matrix, but also to formulate all equations in polynomials, which are more easily manipu...

In this paper we present a time fractional Fokker–Planck equation (fFPE) for radial twophase flow of liquid and gas in porous media. The fFPE of order a is solved for both twoand three-dimensional flow patterns using the Laplace transform method. The general solutions of the fFPE for both twoand threedimensional flows are given as a convolution integral of the input and a kernel in the Laplace ...

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...