We present some recent results concerning the homogenization of uniformly elliptic equations in nondivergence form. The equations are assumed to have coefficients which are independent at unit distanc...
In this talk we review reduced order modelling techniques for efficient computational and geometrical reduction with a special focus on computational fluid dynamics parametrized problems. Parameters m...
We present a fully practical residual-based adaptive simulation framework for two-phase flows with variable densities governed by a Cahn-Hilliard Navier-Stokes model with double obstacle potential. In...
Presenteremo nuovi miglioramenti della disuguaglianza di Sobolev in spazi frazionari tipo H^s in termini di norme di Morrey. Da queste si prova immediatamente esistenza di funzioni ottimali per la dis...
The recent years have seen a significant development in the use of nonuniform grids for the numerical solution of partial differential equations. This development has given rise to a number of new pro...
Image restoration refers to the recovery of a clean sharp image from a noisy, and potentially blurred, observation. Based on the assumption that noise is additive and white, we propose a novel variati...
We discuss a general approach to understand phase separation and metastability in stochastic particle systems that exhibit a condensation transition. Condensation occurs when, above some critical dens...
Given a Lipschitz vector field, the classical Cauchy-Lipschitz theory gives existence, uniqueness and regularity of the associated ODE flow. In recent years, much attention has been devoted to extensi...
Abstrcat: A minimal model for studying the mechanical properties of amorphous solids is a disordered network of point masses connected by springs. At a critical value of its mean connectivity, such a ...
