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A high order discretization method based on integral equations for simulating 3D deformable drops

We consider picoliter sized water droplets immersed in a fluid with different viscosity. At these small scales, inertial effects are negligible, and the dynamics are governed by the Stokes equations. ...

Оptimizing the spectral radius of a matrix

The problem of minimizing and of maximizing the spectral radius on a set of matrices is notoriously hard. Nevertheless, for some sets of a special structure that problem admits an efficient solution. ...

A deterministic particle approximation for nonlinear conservation laws

We present recent results on the deterministic particle approximation of non-linear conservation laws. In [1], the unique entropy solution to a scalar conservation law with a given initial datum in Lâ...

Well-balanced schemes for 1+1 kinetic models: Caseology and matrix-balancing

Collisional kinetic equations constitute an example of entropy-dissipating dynamics for which a large-time behavior results of a delicate balancing of convection (free transport) and reactions (collis...

The game p-Laplacian, from numerical results to analytic hypotheses.

I will discuss how the numerical analysis of the game p-Laplacian, developed with Falcone, Finzi Vita and Giorgi has led to new insights into the behavior of that operator. Particular results obtained...

HERPES ZOSTER (Exogenous boosting, progressive immunity and the dilemma of mass varicella immunization)

CANCELLATOAbstract: Herpes zoster (HZ) is a painful disease caused by the reactivation of the varicella zoster virus(VZV) as cell mediated  immunity (CMI) goes down (e.g. with ageing). Hope-Simps...

Simulazione di flussi con superficie libera mediante metodi Lagrangiani/Euleriani accoppiati

Il seminario presenterà la ricerca in corso circa la simulazione numerica di flussi viscosi con superficie libera, in presenza di elevata deformazione e frammentazione del fronte d’onda. Dopo una brev...

A nonvanishing result for the Helmholtz resolvent and applications

I will discuss a nonvanishing result for the Helmholtz resolvent operator in the spirit of Lions' first Lemma on concentration compactness. The result will be applied to prove the existence of standin...