3 citations · 9 across the 6 of their papers we have counts for
6 papers
A nonconservative kinetic framework for a closed-market society subject to shock events
Marco Menale, Ana Jacinta Soares, Romina Travaglini
Recently, several events have shockingly impacted society, carrying tough consequences. However, not all individuals are similarly affected by shock events. Among other factors, th…
Reaction-diffusion systems from kinetic models for bacterial communities on a leaf surface
Marzia Bisi, Davide Cusseddu, Ana Jacinta Soares +1
Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We prese…
Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis
Marzia Bisi, Maria Groppi, Giorgio Martalò +1
In this paper, a class of reaction-diffusion equations for Multiple Sclerosis is presented. These models are derived by means of a diffusive limit starting from a proper kinetic de…
A BGK-type model for multi-component gas mixtures undergoing a bimolecular chemical reaction
Giorgio Martalò, Ana Jacinta Soares, Romina Travaglini
We propose a new kinetic BGK-type model for a mixture of four monatomic gases, undergoing a bimolecular and reversible chemical reaction. The elastic and reactive interactions are…
Investigating dynamics and asymptotic trend to equilibrium in a reactive BGK model
Giorgio Martalò, Ana Jacinta Soares, Romina Travaglini
We investigate numerically a recent BGK-type model for a multi-component mixture of monatomic gases, undergoing a reversible bimolecular chemical reaction. The model replaces each…
Turing instability and 2-D pattern formation in reaction-diffusion systems derived from kinetic theory
Stefano Boccelli, Giorgio Martalò, Romina Travaglini
We investigate Turing instability and pattern formation in two-dimensional domains for two reaction-diffusion models, obtained as diffusive limits of kinetic equations for mixtures…