4 papers
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…
Individual-Based Foundation of SIR-Type Epidemic Models: mean-field limit and large time behaviour
Giorgio Martalò, Giuseppe Toscani, Mattia Zanella
We introduce a kinetic framework for modeling the time evolution of the statistical distributions of the population densities in the three compartments of susceptible, infectious,…