In this article, we study the initial-boundary-value problem for a sixth-order Cahn-Hilliard type equation ut = D μ, μ = γDu− a(u)Du− a′(u) 2 |Du| + f(u) + kut, which describes the separation properties of oil-water mixtures, when a substance enforcing the mixing of the phases is added. The optimal control of the sixth order Cahn-Hilliard type equation under boundary condition is given and the ...

We study the dynamics of bubbles in the one dimensional Cahn-Hilliard equation. For a gas of diluted bubbles we find ordinary differential equations describing their interaction which permits us to describe the ulterior dynamics of the system in very good agreement with numerical simulations.

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.

In this paper, we propose an application of the Analytic Hierarchy Process to survey research to overcome the deficiency of traditional questionnaire methods. The procedure of the AHP results in not only the identification of the most important alternative but also the preference of all alternatives for each respondent. Therefore, by applying the AHP to survey questionnaire, eliciting responden...

Abstract We investigate a Cahn-Hilliard type equation with gradient dependent potential. After establishing the existence and uniqueness, we pay our attention mainly to the regularity of weak solutions by means of the energy estimates and the theory of Campanato Spaces.

We consider the spectrum associated with the linear operator obtained when a Cahn–Hilliard system on R is linearized about a transition wave solution. In many cases it’s possible to show that the only non-negative eigenvalue is λ = 0, and so stability depends entirely on the nature of this neutral eigenvalue. In such cases, we identify a stability condition based on an appropriate Evans functio...

Dawson et al. examine the importance and relevance of clinical supervision (CS) for regional allied health professionals (AHPs) from a supervisor’s perspective, following their previous study examining CS from a supervisee’s perspective. Both studies examine potential barriers to and outcomes of CS and factors affecting its success in promoting and supporting professional learning and capacity ...

The non-objective and non-scientific evaluation of sports tourism resources has become a bottleneck which restricts the development of sports tourism industry. In order to make the evaluation of sports tourism resources have more comprehensiveness, accuracy and scientificalness and to promote the healthy and sustainable development of sports tourism industry, this paper, based on the AHP-FUZZY ...

This paper shows that the usual multiplicative synthesis of alternative priorities for benefits, opportunities, costs and risks, obtained from separate Analytic Hierarchy or Network models, can be ambiguous. The ratio of benefit and opportunity priorities to cost and risk priorities can be misleading when assessing the profitability of a project. The same holds for their additive synthesis, alt...

Many major shipbuilding enterprises outsource the professional IT work to reduce costs and improve efficiency. In recent years, shipbuilding enterprises have become one of the most important IT outsourcing customers all over the world. In this paper, the key influence factors of the choice of outsourcing service providers are analyzed by AHP to support the decision of shipbuilding enterprises.