5 papers
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…
A model for slowing particles in random media
François Golse, Valeria Ricci, Ana Jacinta Soares
We present a simple model in dimension for slowing particles in random media, where point particles move in straight lines among and inside spherical identical obstacles…
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…
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…