This note completely resolves the asymptotic development of order 2 by Γ-convergence of the mass-constrained Cahn–Hilliard functional, by showing that one of the critical assumptions of the authors’ previous work [10] is unnecessary.

Development of sustainable manufacturing system is a key research area to realise the Sustainable Development Goal of any country. In this research work we have developed a model for development of a sustainable manufacturing process using fuzzy-AHP. The fuzzy-AHP technique is used to determine the effect of various factors affecting the sustainability of a product. The study shows that, adopti...

We study electric field driven deracemization in an achiral liquid crystal through the formation and coarsening of chiral domains. It is proposed that deracemization in this system is a curvature-driven process. We test this prediction using the recently obtained exact result for the distribution of hull-enclosed areas in two-dimensional coarsening with nonconserved scalar order parameter dynam...

Selecting the best mining method among many alternatives is a multicriteria decision making problem. The aim of this paper is to demonstrate the implementation of an integrated approach that employs AHP and PROMETHEE together for selecting the most suitable mining method for the "Coka Marin" underground mine in Serbia. The related problem includes five possible mining methods and eleven criteri...

The decline in importance of private defined benefit plans in relation to defined contribution plans in the United States is a major issue of interest to pension actuaries. This decline has been attributed to numerous factors: costs of government regulation, societal and cultural changes, changed employer attitudes, and employees’ lack of understanding of defined benefit plans. It has also caus...

copayments for prescription medications led to decreases in their use of eight classes of therapeutic drugs, according to a new study cofunded by the Agency for Healthcare Research and Quality (HS13447). Researchers linked pharmacy claims data representing nearly 530,000 people aged 18 to 64. All of the subjects had employer-sponsored health insurance, with health benefit designs from 52 privat...

The proposed Part E, Medicare Extra, outlined in this paper adds a comprehensive benefit option to Medicare, eliminating the need for beneficiaries to purchase a private drug plan and Medigap supplemental coverage. Financed by a budget-neutral beneficiary premium, it has the advantages of greater simplicity, efficiency, and value without adding to federal costs. Beneficiaries now enrolled in Me...

Abstract. We develop a new infinite dimensional gluing method for fractional elliptic equations. In Part I, as a model problem, we construct a solution of the fractional Allen–Cahn equation vanishing on a rotationally symmetric surface which resembles a catenoid and has sub-linear growth at infinity. In Part II, we construct counterexamples to De Giorgi Conjectures to fractional Allen-Cahn equa...