We perform a rigorous analysis of the quasineutral limit for a hydrodynamical models of viscous plasmas represented by the Navier Stokes Poisson system in 3-D. A common feature of this kind of limits ...
Brezis posed the problem of uniqueness for solutions in a ball for Brezis- Nirenberg problem. it was solved by many people, The main ingredient is the clever way using the Pohozaev Identity. But in di...
Building upon the Almgren's big regularity paper, Chang proved in the eighties that the singularities of area-minimizing integral 2-dimensional currents are isolated. His proof relies on a suitable im...
We consider the stochastic Burgers equation from a Lagrangian viewpoint. In other words, we study the dynamical behaviour of the energy minimisers which give the variational behaviour of the solution....
Abstract: The unique electronic properties of graphene have attracted a huge amount of attention since its discovery in 2004. The structural properties of such a two-dimensional lattice are less known...
Abstract: Graphene, a carbon layer packed in a 2D honeycomb lattice, has been discussed theoretically in the 1940s, tough it took sixty years to be experimentally isolate...
Abstract: The problem of an elastic rod deforming in a plane, namely the so-called ‘planar elastica’, has a long history, rooting to Jacob Bernoulli (1654-1705), Daniel Bernoulli (1700-1782), Leonhard...
Abstract: Graphene is a two-dimensional material with a unique set of properties, many of which rely on its planar two-dimensional structure. In many applications, graphene is supported on a substrate...
Abstract: Engineering, intended as the capability of producing innovation and new technology, pays an important tribute to mathematics. It is well known how the increasing computer power open th...
Abstract: Today’s 3D printers are likely to revolutionize personal fabrication, with their hardware improving everyday and their cost getting lower. In this walk, I will present my work in using 3D pr...
Abstract: In recent decades the role of mathematics in then analysis of economic and financial phenomena has greatly increased.Unfortunately, the effects of such a process have not always been positiv...
We discuss vortex configurations in the abelian self-dual Chern-Simons-Higgs model, where topological invariants can just describe a part of the picture. We construct non-topological condensates (=dou...
