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Precursors of frictional slip: from nano to macro scales

Abstract: It has been known for centuries that a body in contact with a substrate will start to slide only when the lateral force exceeds the static friction force. The transition from static to dynam...

Motility at microscopic scales

Abstract: We will discuss the mechanical bases of cellular motility by swimming and crawling.The photo, courtesy of A. Beran (OGS, Trieste), shows some Euglenids exhibiting "metaboly", a type of motio...

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...

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...

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 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...

Invariant Lagrangian graphs, Hamilton-Jacobi equation and action-minizing properties of Tonelli Hamiltonians

In the study of Hamiltonian systems a special role is played by invariant Lagrangian submanifolds. These objects arise quite naturally in many physical and geometric problems and besides sharing a dee...

Statics and dynamics of dislocations: A variational approach

Dislocations are line defects in crystals and they are considered the main mechanism of plastic deformations in metals. We will consider straight dislocations, so that their positions are completely i...

Variational motion of discrete interfaces

We study the motion of discrete interfaces driven by ferromagnetic interactions in a two-dimensional periodic environment, by coupling the minimizing movements approach by Almgren, Taylor and Wang and...

Some questions from the nonlinear theory of electromagnetism of Born-Infeld

In this talk, I will discuss some questions related to the nonlinear theory of electromagnetism formulated by Born and Infeld in 1934. I will discuss the link between this theory and the curvature ope...

Stability results for the semisum of sets in

Given a Borel A in \mathbb{R}^n of positive measure, one can consider its semisum S=(A+A)/2. It is clear that S contains A, and it is not difficult to prove that they have the same measure if and only...

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 ...