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On the Ginzburg-Landau Functional in the Surface Superconductivity Regime

We shall discuss the behavior of type II superconductors in the framework of Ginzburg-Landau theory for an applied magnetic field varying between the second and third critical fields. In this regime s...

Analisi multi-scala di dislocazioni in etero-strutture sottili

Le dislocazioni sono uno dei difetti piu' comuni dei solidi cristallini e la loro presenza influenza il comportamento dei materiali in svariati modi. Per esempio, nell'elettronica dei semiconduttori l...

On the stability of breathers

The purpose of this talk is to discuss several stability properties of a class of very particular structures associated to well-known integrable models, usually referred as "breathers". I will explain...

Henri Poincaré, a founding father of the modern theory of PDEs

I will discuss some contributions of Henri Poincaré which have had a major impact on the development of PDEs in the 20th century; in particular, the solution of the Laplace equation, the spectral theo...

Sul metodo del moltiplicatore per equazioni dispersive a coefficienti variabili

A partire dalla sua introduzione alla fine degli anni '60 ad opera di Morawetz, il metodo del moltiplicatore è stato largamente e floridamente usato per ottenere vari importanti risultati nell'ambito ...

Generalized principal eigenvalues for elliptic operators in non-compact scenarios

What is the analogue of the principal eigenvalue for elliptic operators with non-compact resolvents? Focusing on the case where the lack of compactness is due to the unboundedness of the domain, we sh...

Asymptotics for critical nonlinear dispersive equations and Universality properties

We consider various examples of critical nonlinear partial differential equations which have the following common features: they are Hamiltonian, of dispersive nature, have a conservation law invarian...

A semi-Lagrangian scheme for the game p-Laplacian

We present and analyze a numerical approximation of the two-dimensional Dirichlet problem for the game p-Laplacian based on a semi-Lagrangian scheme. We start from recalling the definition of game p-L...

Pursuit-Evasion Games with Multi-Pursuer: a decomposition approach

In a pursuit-evasion game, each pursuer attempts to minimize the distance between the pursuer (P) and the evader (E) and capture it in the shortest time, whereas the evader tries to maximize the dista...

Photometric Stereo: Some Recent Contributions

Photometric stereo is a 3D-reconstruction technique which uses n images of a scene taken under different lightings. The case n=1 is the well-known shape-from-shading problem, which is ill-posed. Since...
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