H−H-convergence result for nonlocal elliptic-type problems via Tartar's method

In this work we obtain a compactness result for the $H-$convergence of a family of nonlocal and nonlinear monotone elliptic-type problems by means of Tartar's method of oscillating test functions.Comment: In this revision we added a new section that shows the Gamma-convergence of the associated energy functional

Kolmogorov cascade and equipartition of kinetic energy in numerical simulation of Superfluid turbulence

International audienceThe turbulence of a superfluid is investigated by direct numerical simulations at finite temperature and high Reynolds numbers using the continuous model. The superfluid component is described by the Euler equation while the normal fluid component is described by the Navier-Stokes equation, both being coupled by mutual friction. In the high temperature limit, the Kolmogorov cascade is recovered, as expected from previous numerical and experimental studies. As the temperature decreases, the Kolmogorov cascade remains present at large scales while, at small scales, the system evolves towards a statistical equipartition of kinetic energy among spectral modes

Sustainable retrofit for flooding resilience

In recent years, the frequency and impact of flash floods in Mediterranean coastal towns has substantially increased and will continue to rise due to a combination of Climate Change and anthropogenic factors. In 2007, one Spanish town was tragically affected by the Girona River floods, which in few hours severely damaged and destroyed entire buildings. However, despite the severe psychological, physical and economic loss that the population suffered, there is insufficient information and awareness on the risks of recurrence of this phenomenon and the threat that it represents. Previous research studies have proposed to free the riverbed by demolishing buildings and create more green areas. However, an architectural and environmental design approach to retrofit and adapt the damaged housing in order to improve their resilience to extreme climatic events, has never been proposed. The aim of this project is to identify sustainable adaptation strategies for the design and construction of housing buildings affected by the floods. The following studies demonstrated that a series of mitigative and adaptive strategies can be successfully applied not only to prevent flooding and water ingress into building, but also to improve interior environmental conditions in order to maximise comfort and minimise heating and cooling energy demand

An optimal mass transport approach for limits of eigenvalue problems for the fractional pp-Laplacian

We find interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional $p-$Laplacian operators as $p\to +\infty$. We deal both with Dirichlet and Neumann boundary conditions.Comment: 20 page