For more than two decades, the Lattice Boltzmann (LB) method has gained increasing interest as an efficient computational scheme for the numerical simulation of complex fluid problems across a broad r...
We discuss an epsilon-regularity result at the endpoint of connected arcs for 2-dimensional Mumford-Shah minimizers obtained in a joint work with C. De Lellis (U. Zuerich). As an outcome of our analys...
the first part of the talk will be an introduction to the general theory of random walks on groups with some classical results on entropy, rate of escape ... . For hyperbolic groups, these probabilist...
Experiments indicate that one of the main forces in pedestrian dynamics is collision avoidance. In other words individuals actively anticipate the future to predict a possible collision time and adjus...
We introduce a notion of gradient and an infimal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main applic...
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...
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...
