2014 Exact calculations using transfer matrices on finite strips are performed to study the two-dimensional problem of one lattice animal with an attractive nearest neighbour interaction. Thermodynamic quantities such as specific heat, compressibility, thermal expansion are calculated. Finite size scaling with two strips of different widths yields very accurate approximations of the critical li...

Vasomotion consists of cyclic arterial diameter variations induced by synchronous contractions and relaxations of smooth muscle cells. However, the arteries do not contract simultaneously on macroscopic distances, and a propagation of the contraction can be observed. In the present study, our aim was to investigate this propagation. We stimulated endothelium-denuded rat mesenteric arterial stri...

We study both of the scattering and Cauchy problems for semilinear wave equation with a null quadratic form on Schwarzschild background. Prescribing data that are given by short pulse future infinity trivial event horizon, we construct class global solutions backwards up to any finite time show travels in such way almost all (large) energy is focusing an outgoing strip, while little radiates ou...

Liner is key parts of equipment of slab side pressing, its main function is supporting the weight of lateral pressure, and are under some impact pressure, which is impact force up to 2000 tons, it make liner frequent breakage in the process of working, an led to entire production line stop, seriously affect the yield and efficiency of hot rolled strip. In order to obtain the reasons of liner fr...

We study the (analytic) finite-size corrections in the Ising model on the strip with free, fixed (++), and mixed boundary conditions. For fixed (++) boundary conditions, the spins are fixed to the same values on two sides of the strip. We find that subdominant finite-size corrections to scaling should be to the form a(p)/N(2p-1) for the free energy f(N) and b(p)/N(2p-1) for inverse correlation ...

The objective of this paper is to provide analytical expressions for the elastic cross-section local buckling stress, including element interaction, of hot-rolled steel structural shapes. The crosssection local buckling stress is determined by finite strip analysis. Local stability of each crosssection is considered in axial compression, as well as positive and negative bending about the major ...

Parametric studies were carried out to analyse the effect on sea water intrusion of freshwater recharge through a finite width strip parallel to the coast. A vertically integrated one-dimensional finite element model was used for this purpose. The studies included the analysis of the effect of location, width, intensity and the period of recharge on sea water-freshwater interface motion. Relati...

V-Band Clamps are manufactured using a cold roll forming process consisting of six passes which plastically deform an initially flat strip by bending to produce the band’s V-section. In this paper a new method of validating numerically predicted plastic deformation in a cold formed metal strip is presented. Tensile testing of samples of the band’s material was used to obtain a direct link betwe...

We consider the dynamics of a two-dimensional incompressible perfect fluid on M\"obius strip embedded in $\mathbb{R}^3$. The vorticity-streamfunction formulation Euler equations is derived from an exterior-calculus form momentum equation. non-orientability and distinction between forms pseudo-forms this introduces lead to unusual properties: boundary condition provided by conservation circulati...

Let D be a convex planar domain of finite inradius RD . Fix the point 0 ∈ D and suppose the disk centered at 0 and radius RD is contained in D. Under these assumptions we prove that the symmetric decreasing rearrangement in θ of the Green’s function GD(0, ρe iθ), for fixed ρ, is dominated by the corresponding quantity for the strip of width 2RD . From this, sharp integral mean inequalities for ...