This study highlights the energy problem and the possible savings that can be achieved through the use of renewable energy technologies. Also, this study clarifies the background of the study, highlights the potential energy saving that could be achieved through use of renewable energy technologies and describes the objectives, approach and scope of the study. The move towards a decarbonised wo...

We study the vortex location for minimizers of a Ginzburg-Landau energy with a discontinuous constraint. The discontinuous constraint appears in the potential (a − |u|). The function a is piecewise constant: it takes the value 0 < b < 1 in small disjoint domains (called inclusions) and 1 otherwise. It is proved, under some assumptions on the smallness of the inclusions and on their interdistanc...