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Sui metodi Local Single-Pass per equazioni di Hamilton-Jacobi stazionarie

I metodi numerici di tipo Local Single-Pass (LSP) permettono di risolvere in maniera efficiente alcune PDE iperboliche nonlineari: da un lato, localizzando il calcolo su un sottoinsieme ristretto di n...

Some results on the long time behaviour of forced mean curvature flow.

I will discuss some results on the existence and stability of traveling wave solutions for the forced mean curvature flow. I will present also some related results on homogenization of mean curvature ...

Construction, computation, and properties of solutions of the acoustic and elastic wave equations with coefficients of limited smoothness

In this talk, we discuss a program concerning the construction, computation, and properties of solutions of evolution and wave equations using techniques from harmonic analysis, in particular, localiz...

Costruzione, implementazione e confronto di schemi per la diffusivitàatmosferica verticale

Si presenterà un modello di diffusione turbolenta verticale per l'atmosfera, e se ne considereranno due strategie di approssimazione, una alle differenze dovuta a Girard e Delage, ed una semi-lagrangi...

A non-homogeneous elliptic problem dealing with the level set formulation of the inverse mean curvature flow

This lecture deals with the following problem, let us call it (P): \begin{equation} \left\{ \begin{array}{ll} \displaystyle - {\rm div} \left(\frac{Du}{\vert Du \vert} \right) + \vert Du \vert = f\,, ...

Mean Field games and queuing theory: dynamic of order books as a liquidity offer/demand equilibrium

Mean Field Game approach provides a framework for queuing model with strategic anticipations. This will be the key new feature to model the game equilibrium between stochastic flows of impatient and p...

Uno schema Semi-Lagrangiano completamente discreto per un problema di Giochi a Campo Medio

Presento uno schema Semi-Lagrangiano per un sistema di equazioni alle derivate parziali che modellizza un problema di Giochi a Campo Medio. L'approssimazione numerica del sistema introduce notevoli di...

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...

Asymptotics of the nonlocal perimeter functional

I will deal with the asymptotic behavior of the s-Perimeter as s goes to 0, providing an explicit formulation in terms of the Lebesgue measure. Moreover, I will construct some examples of sets for whi...