A class of models of Cahn-Hilliard fluids are developed by considering two incompressible non-reacting phases. The concentration of one of the phases, satisfying the classical diffusion equation, is regarded as the order parameter. The balance of energy and the entropy inequality are taken as for a single constituent but, owing to the non-simple character of the continuum, extra fluxes of energ...

Our paper analyzes butchers preferences toward the attributes and levels for fresh rabbit meat. We compare results obtained from alternatives approaches of data collection: a) the traditional pair wise comparison of AHP (AHP1) and b) the direct valuation by mean of a 9 point likert scale transformed in a a subsequent step to estimate AHP (AHP2). The data used in this analysis was obtained from ...

We investigate the existence of a true invariant manifold given an approximately invariant manifold for an infinite-dimensional dynamical system. We prove that if the given manifold is approximately invariant and approximately normally hyperbolic, then the dynamical system has a true invariant manifold nearby. We apply this result to reveal the global dynamics of boundary spike states for the g...

Because a biomass gasification station includes various hazard factors, hazard assessment is needed and significant. In this article, the cloud model (CM) is employed to improve set pair analysis (SPA), and a novel hazard assessment method for a biomass gasification station is proposed based on the cloud model-set pair analysis (CM-SPA). In this method, cloud weight is proposed to be the weight...

The gradient flow approach to the Cahn-Hilliard and phase field models is developed, and some basic mathematical properties of the models, especially phase separation phenomena, are reviewed.

This study deals with prioritization of sustainable supply chin measurement indicators which are calculated by using Chang’s extent method of Fuzzy AHP. Within the model of Fuzzy AHP, main attributes, sub attributes and indicators are defined. The weights of them are calculated from the answers of questionnaire, which is formed for pair-wise comparison of attributes and indicators. The results ...

Abstract. In this paper, we study the global existence of classical solutions for the Cahn-Hilliard equation with terms of lower order and non-constant mobility. Based on the Schauder type estimates, under some assumptions on the mobility and terms of lower order, we establish the global existence of classical solutions.

Analyzing the existing problems of the comprehensive quality of the water resource assessment, the authors put forward fuzzy comprehensive evaluation method and System. Depending on the materials, the article sets up the evaluation index system by decomposing and refining the water resource quality evaluation of the content, and then studys comprehensive evaluation model of water conservancy ta...

Background: Choosing the most suitable candidate for the position of salesperson is indeed a complex task for managers because several criteria important for the position should be taken into consideration. Such a choice should be considered as a multiple-criteria problem, which can be solved by using the AHP method. Objectives: The main goal is to investigate which criteria are the most import...