A Ginzburg-Landau type energy with weight and with convex potential near zero

In this paper, we study the asymptotic behaviour of minimizing solutions of a Ginzburg-Landau type functional with a positive weight and with convex potential near $0$ and we estimate the energy in this case. We also generalize a lower bound for the energy of unit vector field given initially by Brezis-Merle-Rivi\`ere

A Plane Wave Virtual Element Method for the Helmholtz Problem

We introduce and analyze a virtual element method (VEM) for the Helmholtz problem with approximating spaces made of products of low order VEM functions and plane waves. We restrict ourselves to the 2D Helmholtz equation with impedance boundary conditions on the whole domain boundary. The main ingredients of the plane wave VEM scheme are: i) a low frequency space made of VEM functions, whose basis functions are not explicitly computed in the element interiors; ii) a proper local projection operator onto the high-frequency space, made of plane waves; iii) an approximate stabilization term. A convergence result for the h-version of the method is proved, and numerical results testing its performance on general polygonal meshes are presented

The slow road to a new home: The experiences of the first generation of South Sudanese Western Australians Settled in Perth

Most refugee migrants entering Australia have limited financial resources. In Australia, low-income migrants from non-English speaking backgrounds-also referred to as Culturally and Linguistically Diverse (CaLD) migrants-feature as one of the groups suffering from the current Australian housing crisis, experiencing difficulty in navigating the housing market and achieving sustainable housing outcomes. This article analyses the case study of the South Sudanese migrants and profiles this group, analysing factors that contribute to improving their financial independence (education, employment and income) and housing outcomes, with the aim to evaluate their overall economic position in relation to accessing the housing market. Data shows that after an average of ten years beginning from their initial arrival in Australia, this migrant group is still struggling to improve their financial position. The article concludes by questioning the current approaches to the resettlement process concerning the attainment of suitable housing outcomes