20 citations · 63 across the 14 of their papers we have counts for
7 papers · 1 filter
On the modelling of polyatomic molecules in kinetic theory
Marzia Bisi, Thomas Borsoni, Maria Groppi
This communication is both a pedagogical note for understanding polyatomic modelling in kinetic theory and a ''cheat sheet'' for a series of corresponding concepts and formulas. We…
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 chemotaxis reaction-diffusion model for Multiple Sclerosis with Allee effect
Marzia Bisi, Maria Groppi, Giorgio Martalò +1
In this paper, we study a modification of the mathematical model describing inflammation and demyelination patterns in the brain caused by Multiple Sclerosis proposed in [Lombardo…
On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting
Benjamin Anwasia, Marzia Bisi, Francesco Salvarani +1
In this article we deduce a mathematical model of Maxwell-Stefan type for a reactive mixture of polyatomic gases with a continuous structure of internal energy. The equations of th…
Entropy dissipation estimates for the linear Boltzmann operator
Marzia Bisi, José A. Cañizo, Bertrand Lods
We prove a linear inequality between the entropy and entropy dissipation functionals for the linear Boltzmann operator (with a Maxwellian equilibrium background). This provides a p…
Uniqueness in the weakly inelastic regime of the equilibrium state of the inelastic Boltzmann equation driven by a particle bath
Marzia Bisi, José Alfredo Cañizo, Bertrand Lods
We consider the spatially homogeneous Boltzmann equation for inelastic hard-spheres (with constant restitution coefficient ) under the thermalization induced by a host…