Wetting morphologies on solid substrates, which may be chemically or topographically structured, are studied theoretically by variation of the free energy which contains contributions from the substrate surface, the fluid– fluid interface and the three-phase contact line. The first variation of this free energy leads to two equations—the classical Laplace equation and a generalized contact line...

objective(s) plasma leptin exists in protein-bound and free forms, which may affect its hormonal bioactivity. the free and bound forms are changed by the body weight. the purpose of this study was to evaluate the effect of metformin on bound and free plasma leptin concentration. materials and methods subjects recruited from yazd diabetes research centre, yazd university of medical sciences. the...

Objective(s) Plasma leptin exists in protein-bound and free forms, which may affect its hormonal bioactivity. The free and bound forms are changed by the body weight. The purpose of this study was to evaluate the effect of metformin on bound and free plasma leptin concentration. Materials and Methods Subjects recruited from Yazd Diabetes Research Centre, Yazd University of Medical Sciences. ...

In this paper, a new implicit nonstandard finite difference scheme for conservation laws, which preserving the property of TVD (total variation diminishing) of the solution, is proposed. This scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. Schemes preserving the essential physical property of TVD are of great importance in practice. Such s...

A language is torsion (resp. bounded torsion, aperiodic, bounded aperiodic) if its syntactic monoid is torsion (resp. bounded torsion, aperiodic, bounded aperiodic). We generalize the regular language theorems of Kleene, Sch utzenberger and Straubing to describe the classes of torsion, bounded torsion, aperiodic and bounded aperiodic languages. These descriptions involve taking limits of sequen...

In this paper, we investigate numerical approximations of the scalar conservation law with the Caputo derivative, which introduces the memory effect. We construct the first order and the second order explicit upwind schemes for such equations, which are shown to be conditionally 1 contracting and TVD. However, the Caputo derivative leads to the modified CFL-type stability condition, ( t) = O( x...