In this talk we discuss a method to couple two or more explicit numerical schemes approximating the same equation, in order to create new schemes which inherit advantages and drawbacks of the original...
The topic of stochastic homogenization of elliptic partial differential equations in divergence form is classical. It is about the homogeneous large-scale behavior of heterogeneous media, like conduct...
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...
In the 80s, De Giorgi introduced the notion of abstract gradient flows, which allowed to define a notion of solutions to ordinary differential equations of the form x' = −grad F(x) on metric spaces ...
A single experimental setup is the occasion for a tour into many issues in non-equilibrium statistical mechanics. In the experiment, a rotating intruder performs a Brownian-like dynamics under the inf...
In the first part of the seminar I will present a physical model used in volcanology to describe ground's deformations within calderas. Based on the linear elastic theory, this analytical model replac...
Front propagation is an ubiquitous feature of reactive phenomena, in particular in the dynamics of excitable media. Standard mathematical counterparts are traveling-waves for reaction-diffusion equati...
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...
Nel seminario vogliamo presentare alcuni problemi aperti di "optimal shape design" che appaiono in acustica. Tali problemi coinvolgono equazioni a derivate parziali in domini piani in cui compare l'op...
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 ...
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...
