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Optimization and model reduction of a permanent magnet machine

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...

On the connection between homogenization of some stochastic Hamilton-Jacobi-Bellman equations and large deviations of diffusions with random drift in a random potential

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...

Strange equilibria of elastic rods: elastic arm scale, torsional gun, and the dripping of the Euler's elastica

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...

Excited random walks in Markovian cookie environments on Z

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...

Time-stepping methods for wave scattering problems

We consider the numerical approximation of retarded potentials arising in wave scattering problems. For the temporal approximation we consider a generalization of Lubich's Convolution Quadrature which...

Geometric problems related to the inhomogeneous infinity Laplace equation

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...

Geometria e astronomia

(seminario rivolto a tutti i docenti della Scuola dell'obbligo)...

Asymptotic-preserving methods: a new paradigm for multiscale differential problems

The concept of an Asymptotic-Preserving (AP) method makes a breakthrough in the numerical resolution of multiscale differential problems. AP schemes are extremely powerful tools as they permit the use...

Large time behavior for diffusion equations in unbounded domains

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...

Optimal control of leukemic cell population dynamics

We are interested in optimizing the co-administration of two drugs for some acute myeloid leukemias (AML), and we are looking for in vitro protocols as a first step. This issue can be formulated as an...

Plasma Oscillations: analysis of dispersive behavior and acoustic waves

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 ...