In this paper, the equilibrium behavior of an immiscible two phase fluid on a rough surface is studied from a phase field equation derived from minimizing the total free energy of the system. When the size of the roughness becomes small, we derive the effective boundary condition for the equation by the multiple scale expansion homogenization technique. The Wenzel and Cassie equations for the a...

We consider a thin curved film made of a martensitic material. The behavior of the film is governed by a free energy composed of a bulk energy term and an interfacial energy term. We show that the minimizers of the free energy converge to the minimizers of an energy depending on a two-dimensional deformation and one Cosserat vector field when the thickness of the curved film goes to zero. using...

the main purpose of this paper is to examine the convergence of price-levels of tradable goods in comparison to that of services (non-tradable) under the free trade among iranian provinces over 2007- 2012. this comparison has been achieved by applying the pair-wise approach which has been recently developed by pesaran (2005). in this approach, the time series models (adf, df-gls and kpss unit r...

The technology described in this document has been subject to extensive simulation using pathological convergence behavior and real network topologies and costs. However, the mechanisms described in this document are purely illustrative of the general approach and do not constitute a protocol specification. This document represents a snapshot of the work of the Routing Area Working Group at the...

The current research develops derivative-free family with memory methods with 100% improvement in the order of convergence. They have three parameters. The parameters are approximated and increase the convergence order from 4 to 6, 7, 7.5 and 8, respectively. Additionally, the new self-accelerating parameters are constructed by a new way. They have the properties of simple structures and they a...

In this paper, a gradient-free distributed algorithm is introduced to solve set constrained optimization problem under directed communication network . Specifically, at each time-step, the agents locally compute so-called pseudo-gradient guide updates of decision variables, which can be applied in fields where gradient information unknown, not available or non-existent. A surplus-based method a...

We study the stability of a sequence of integral functionals on divergence-free matrix valued fields following the direct methods of Γ-convergence. We prove that the Γ-limit is an integral functional on divergence-free matrix valued fields. Moreover, we show that the Γlimit is also stable under volume constraint and various type of boundary conditions.