Top-level heading

Least action principles allowing dissipation effects

Usually, least action principles lead to hamiltonian, conservative and time reversible solutions in which no dissipation effect can be input. We show, through some examples related to ODEs or PDEs in ...

Jacobians revisited

I will present joint results with H.-M. Nguyen concerning the study of the Jacobian determinant of maps from R^N into R^N (and also S^N into S^N). New estimates in the Wasserstein metric illuminate cl...

Stability results for sign-changing solutions of critical elliptic equations

On a compact Riemannian manifold, we present stability results and their instability counterpart for sign-changing solutions of elliptic equations with critical nonlinearities. Such equations are said...

Optimal transport problems in some sandpile models

We will discuss the relationships of the Monge problem with a common differential model in granular matter theory. We will show that the Monge problem permits to prove existence and uniqueness/multipl...

Optimization-based Multilevel Algorithm for Minimization Problems in Image Processing

In this talk, we introduce a fast multilevel method for solving minimization problems arising in various image restoration problems. Different from traditional multilevel methods which solve the the m...

Perturbation bounds for eigenvalues

If A and B are two matrices, what can be said about the distance between their eigenvalues in terms of the distance...

Finite element relaxation schemes for the visco-elastodynamics: a pretext of bridging analysis and scientific computing through physical modeling...

We discuss the numerical simulation of visco-elastodynamics based on finite element schemes for an inherent (singular hyperbolic) relaxation approximation. Those methods use piecewise polynomials of a...

Alcuni nuovi risultati e problemi nell'omogeneizzazione delle equazioni di Hamilton-Jacobi

Ci si soffermerà sull'omogeneizzazione nel caso stazionario ergodico descrivendo in particolare il caso unidimensionale e presentando qualche nuovo risultato nel caso di Hamiltoniane non convesse. Per...

Uno schema di approssimazione per un sistema Hamilton-Jacobi equazione di trasporto.

Viene descritto uno schema di approssimazione di tipo semi-Lagrangiano per un sistema di equazioni composto da una equazione di Hamilton-Jacobi e una equazione di trasporto in forma conservativa. Ques...

Un modello per il movimento batterico indotto dall'actina

Nel seminario verrà introdotto un modello per il movimento basato sullapolimerizzazione dell'actina tipico di alcuni batteri (quali Listeria monocytogenes, Rickettsia Rickettsii e Shigella Flexenari)....

Exponential Integrators for Applications to Enviromental Fluid Dynamics

The basic concepts and main features of Runge-Kutta and Rosenbrock exponential integrators will be reviewed, along with the main difficulties in computing the exponential matrix. The advantages of the...

Modelli differenziali per la riproduzione di fenomeni di auto-organizzazione in gruppi animali

In questo seminario presenterò un nuovo modello matematico microscopico (agent-based) in grado di riprodurre le strutture tipiche dei gruppi di animali in movimento, come le linee (aragoste, pinguini,...