in this paper the dynamic of a droplet on a surface with a hole is investigated under gravitational effect by using lattice boltzmann method. incompressible two-phase flow with high density ratio proposed by lee is considered. cahn’s theory is used to observe the wettability of the surface in contact with liquid and gas phases. several parameters such as contact angle, surface tension and gravi...

The C-minor partial orders determined by the clones generated by a semilattice operation (and possibly the constant operations corresponding to the identity or zero elements) satisfy the descending chain condition. 1. C-minors and C-decompositions Let A be a fixed nonempty base set. An operation on A is a map f : A → A for some integer n ≥ 1, called the arity of f . Denote by OA = ⋃ n≥1A A the ...

We provide an analytical study on the stability of equilibria of rigid rodlike nematic liquid crystalline polymers (LCPs) governed by the Smoluchowski equation with the Maier-Saupe intermolecular potential. We simplify the expression of the free energy of an orientational distribution function of rodlike LCP molecules by properly selecting a coordinate system and then investigate its stability ...

We tackle the inverse problem of reconstructing an unknown finite measure μ from a noisy observation of a generalized moment of μ defined as the integral of a continuous and bounded operator Φ with respect to μ . When only a quadratic approximation Φm of the operator is known, we introduce the L2 approximate maximum entropy solution as a minimizer of a convex functional subject to a sequence of...

‎In a real Hilbert space‎, ‎an iterative scheme is considered to‎ ‎obtain strong convergence which is an essential tool to find a‎ ‎common fixed point for a countable family of nonexpansive mappings‎ ‎and the solution of a variational inequality problem governed by a‎ ‎monotone mapping‎. ‎In this paper‎, ‎we give a procedure which results‎ ‎in developing Shehu's result to solve equilibrium prob...

In this article, the second quantization method has been used to investigate some thermodynamic properties of spin-polarized metallic nanowire in the presence of magnetic field at zero temperature. We have been observed that in different magnetic field, the equilibrium energy of system increases as the density increases. The spin-polarization parameter corresponding to the equilibrium state of ...

We say that a representation of an algebra, of local observables has short-range correlations if any observable which can be measured outside all bounded sets is a multiple of the identity, and that a state has finite range correlations if the corresponding cyclic representation does. We characterize states with short-range correlations by a cluster property. For classical lattice systems and c...

This paper is a continuation of [4, 9, 13]. To classify algebraic varieties is one of the goals in algebraic geometry. One way to study a given variety is to understand the behavior of its pluricanonical maps. The objects concerned here are complex projective 3-folds of general type over C. Let X be such an object and denote by φm the m-th pluricanonical map of X , which is the rational map ass...

Let {λj}∞j=1 be a strictly increasing sequence of positive numbers with λ1 = 1. We find a simple explicit formula for the orthogonal Dirchlet polynomials {φn} formed from linear combinations of { λ j n j=1 , associated with the arctangent density. Thus ∫ ∞ −∞ φn (t)φm (t) dt π (1 + t2) = δmn. We obtain formulae for their Christoffel functions, and deduce their asymptotics, as well as universali...