Articolo in rivista

Dynamics and statistics of heavy particles in turbulent flows

We present the results of direct numerical simulations (DNS) of turbulent flows seeded with millions of passive inertial particles. The maximum Reynolds number is Re-lambda similar to 200. We consider particles much heavier than the carrier flow in the limit when the Stokes drag force dominates…

Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations

In this note, we rigorously justify a singular approximation of the incompressible Navier-Stokes equations. Our approximation combines two classical approximations of the incompressible Euler equations: a standard relaxation approximation, but with a diffusive scaling, and the Euler-Poisson…

Non-local torsion functions and embeddings

Given (Formula presented.), we discuss the embedding of (Formula presented.) in (Formula presented.). In particular, for (Formula presented.) we deduce its compactness on all open sets (Formula presented.) on which it is continuous. We then relate, for all q up the fractional Sobolev conjugate…

A priori estimates for solutions to anisotropic elliptic problems via symmetrization

We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for norms of the relevant solutions.

How the interval between prime and boost injection affects the immune response in a computational model of the immune system

Wavelet kernel penalized estimation for non-equispaced design

The paper considers regression problems with univariate design points. The design points are irregular and no assumptions on their distribution are imposed. The regression function is retrieved by a wavelet based reproducing kernel Hilbert space (RKHS) technique with the penalty equal to the sum…

Le diverse declinazioni della matematica per lo sviluppo dell'intelligenza artificiale nei seminari "AIM - Fundamentals and beyond".

Tra novembre 2020 e giugno 2021, l'Istituto per le Applicazioni del Calcolo "Mauro Picone" (IAC) ha realizzato un ciclo di seminari dedicati al rapporto tra Intelligenza Artificiale e Matematica, denominato AIM - Artificial Intelligence and Mathematics - Fundamentlas and beyond. Nel presente lavoro…

Microscopic and macroscopic models for the onset and progression of Alzheimer's disease

In the first part of this paper we review a mathematical model for the onset and progression of Alzheimer's disease (AD) that was developed in subsequent steps over several years. The model is meant to describe the evolution of AD in vivo. In Achdou et al (2013 J. Math. Biol. 67 1369-92) we treated…

A hyperbolic model of spatial evolutionary game theory

We present a one space dimensional model with finite speed of propagation for population dynamics, based both on the hyperbolic Cattaneo dynamics and the evolutionary game theory. We prove analytical properties of the model and global estimates for solutions, by using a hyperbolic nonlinear Trotter…

Bayesian analysis of dynamic Magnetic Resonance breast images

Dynamic magnetic resonance imaging with contrast agent is a very promising technique for mammography. A temporal sequence of magnetic resonance images of the same slice are acquired following the injection of a contrast agent in the blood stream. The image intensity depends on the local…