Articolo in rivista

Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems

GeenaR: A Web Tool for Reproducible MALDI-TOF Analysis

Mass spectrometry is a widely applied technology with a strong impact in the proteomics field. MALDI-TOF is a combined technology in mass spectrometry with many applications in characterizing biological samples from different sources, such as the identification of cancer biomarkers, the detection…

Different regimes of the uniaxial elongation of electrically charged viscoelastic jets due to dissipative air drag

We investigate the effects of dissipative air drag on the dynamics of electrified jets in the initial stage of the electrospinning process. The main idea is to use a Brownian noise to model air drag effects on the uniaxial elongation of the jets. The developed numerical model is used to probe the…

Area-preserving curve-shortening flows: from phase separation to image processing

Are the Effects of Large Scale Flow Conditions Really Lost Through the Turbulent Cascade?

The conceptual framework for modeling the inertial subrange is strongly influenced by the Kolmogorov cascade phenomena, which is now the subject of significant reinterpretation. It has been argued that the effects of boundary conditions influence large-scale motion and direct interaction between…

Gravitational scattering at the seventh order in G: Nonlocal contribution at the sixth post-Newtonian accuracy

A recently introduced approach to the classical gravitational dynamics of binary systems involves intricate integrals (linked to a combination of nonlocal-in-time interactions with iterated 1r-potential scattering) which have so far resisted attempts at their analytical evaluation. By using…

Minimally Unbalanced Diamond-Free Graphs and Dyck-Paths

A {0, 1}-matrix A is balanced if it does not contain a submatrix of odd order having exactly two 1's per row and per column. A graph is balanced if its clique-matrix is balanced. No characterization of minimally unbalanced graphs is known, and even no conjecture on the structure of such graphs has…

Moser type estimates in nonlinear Neumann problems

Sharp exponential estimates for solutions to homogeneous Neumann problems for nonlinear elliptic equations in open subsets ! of Rn are established, with data from limiting Lebesgue spaces, or, more generally, Lorentz spaces.

Space localization and well-balanced schemes for discrete kinetic models in diffusive regimes

We derive and study Well-Balanced schemes for quasimonotone discrete kinetic models. By means of a rigorous localization procedure, we reformulate the collision terms as nonconservative products and solve the resulting Riemann problem whose solution is self-similar. The construction of an…

A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation

The aim of this paper is to study relaxation rates for the Cahn-Hilliard equation in dimension larger than one. We follow the approach of Otto and Westdickenberg based on the gradient flow structure of the equation and establish differential and algebraic relationships between the energy, the…