Top-level heading

Control of Dynamic Systems with Multiple Objectives

The challenges of controlling multiple agent dynamic systems with multiple objectives are related to and furthermore include problems in multi-player dynamic games, multiobjective optimization, and de...

Analysis and approximation of Hamilton-Jacobi equations with irregular data

We will present some numerical schemes for some non classical Hamilton-Jacobi equations. We will consider an Eikonal equation with discontinuous coefficients. In this case, through a particular condit...

(In)homogeneity & (an)isotropy-- composite materials, optimal paths, and computational challenges of homogenization

I will briefly discuss the separate computational challenges posed by anisotropy & inhomogeneity in front propagation and optimal control problems. The idea of "homogenization" will be introduced ...

Plate kinematic models and lithosphere/mantle interactions at mid-ocean ridges

Plate kinematics represents the first evidence of plate tectonic processes and the basics of plate dynamic models. The kinematics of plates is defined by Euler pole and angular velocity, and the main ...

Hamilton-Jacobi approach for some state-constrained control problems

We will consider a class of state-constrained control problems lacking controllability assumptions and we will review some results on the characterization of the value function as solution of an appro...

State-constrained optimal control problems with BV trajectories

We investigate an optimal control problem governed by differential equations with Radon measure as data in presence of state constraints. By using the method of graph completion for the measure, the o...

A semi-discrete in time approximation for a model first order-finite horizon mean field game problem

In this talk we consider a model first order mean field game problem, introduced by J.M. Lasry and P.L. Lions. Its solution (v,m) can be obtained as the limit of the solutions of the second order mean...

Tectonic asymmetry of the Earth: any relation with tides?

Abstract: The Earth shows a systematic asimmetry of the first order tectonic features, both along subduction zones, orogens and oceanic rifts. This signature is consistent with the "westerly" dir...

A multi-phalanx self-similar robot hand model

We introduce a model for a robot hand based on the theory of expansions in non-integer bases. Self-similarity of configurations and an arbitrarily large number of fingers (including the opposable thum...

Fast numerical solution of inverse problems in image processing

A general principle for dealing with the intrinsic numerical instability of most inverse problems is that of regularization. Among the regularization approaches the first one is Tikhonov regularizatio...

Diffusion geometry in shape analysis

Diffusion geometry, scale-space analysis, and study of heat propagation on manifolds have recently become a popular tool in data analysis in a variety of applications. In this talk, we will explore th...