We present an alternative derivation of the dynamical density functional theory for the one-body density profile of a classical fluid developed by Marconi and Tarazona [J. Chem. Phys. 110, 8032 (1999)]. Our derivation elucidates further some of the physical assumptions inherent in the theory and shows that it is not restricted to fluids composed of particles interacting solely via pair potentia...

Article history: Received 19 June 2013 Received in revised form 9 August 2013 Accepted 12 August 2013 Available online 14 September 2013

We develop a continuum description for the axial segregation of granular materials in a long rotating drum based on the dynamics of the thin near-surface granular flow coupled to bulk flow. The equations of motion are reduced to the one-dimensional system for two local variables only, the concentration difference and the dynamic angle of repose, or the average slope of the free surface. The par...

This progress report outlines the main reasons why Saaty’s Analytic Hierarchy Process (AHP, see [17] and [18]) is not a valid methodology.

In this note we prove compactness for the Cahn-Hilliard functional without assuming coercivity of the multi-well potential.

OBJECTIVE The aim of the present study was to identify areas where allied health assistants (AHAs) are not working to their full scope of practice in order to improve the effectiveness of the allied health workforce. METHODS Qualitative data collected via focus groups identified suitable AHA tasks and a quantitative survey with allied health professionals (AHPs) measured the magnitude of work...

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...