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...
Some recent developments of reduced order modelling (ROM) in computational fluid dynamics for viscous incompressible flows will be discussed. The main topics will deal with the use of combined ROM tec...
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...
In an electromagnetic machine with permanent magnets the excitation field is provided by a permanent magnet instead of a coil. The center of the generator, the rotor, contains the magnet. Our optimiza...
The connection mentioned in the title is well-known (see, for example, A.-S. Sznitman, Brownian motion in a Poissonian potential, 1993, PTRF). The goal of the talk is to review some necessary facts fr...
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...
We consider a nearest-neighbor random walk on Z whose probability ω(x, n) to jump to the right from site x depends not only on x but also on the number of prior visits n to x. The collection (ω(x, n...
