The Kolmogorov 1941 theory (K41) is, in a way, the starting point for all models of turbulence. In particular, K41 and corrections to it provide estimates of small-scale quantities such as increments ...
We discuss some recent results related to the homogeneous Dirichlet problem for the infinity Laplace equation with constant source in a bounded domain. We characterize the geometry of domains for whic...
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: 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: 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...
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 ...
The asymptotic decay rate and other qualitative features of solutions to parabolic equations set in noncompact domains of RN, or Riemannian manifolds, depend in general on a suitable notion of the geo...
We consider vectorial variational problems of the form E[u]=∫W(Du)dx, typical for example of nonlinear elasticity and plasticity, which include constraints on the determinant. Specifically, the ener...
Segregation phenomena occurs in many areas of mathematics and science: from equipartition problems in geometry, to social and biological processes (cells, bacteria, ants, mammals) to finance (sellers ...
The well-studied power-law-nonlinearity elliptic PDE is known to exhibit a variety of interesting effects, including non-existence, non-uniqueness and concentration phenomena. The application of forma...
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...
