12 citations · 33 across the 7 of their papers we have counts for
8 papers
Stability analysis for a kinetic bacterial chemotaxis model
Vincent Calvez, Gianluca Favre, Franca Hoffmann
We perform stability analysis of a kinetic bacterial chemotaxis model of bacterial self-organization, assuming that bacteria respond sharply to chemical signals. The resulting disc…
A framework for continuum modeling of opinion dynamics on a network based on probability of connections
Gianluca Favre, Gaspard Jankowiak, Sara Merino-Aceituno +1
We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell…
Opinion formation on evolving network. The DPA method applied to a nonlocal cross-diffusion PDE-ODE system
Simone Fagioli, Gianluca Favre
We study a system of nonlocal aggregation cross-diffusion PDEs that describe the evolution of opinion densities on a network. The PDEs are coupled with a system of ODEs that descri…
Hypocoercivity and reaction-diffusion limit for a nonlinear generation-recombination model
Gianluca Favre, Marlies Pirner, Christian Schmeiser
A reaction-kinetic model for a two-species gas mixture undergoing pair generation and recombination reactions is considered on a flat torus. For dominant scattering with a non-movi…
Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit
Gianluca Favre, Marlies Pirner, Christian Schmeiser
The thermalization of a gas towards a Maxwellian velocity distribution with the background temperature is described by a kinetic relaxation model. The sum of the kinetic energy of…
Existence analysis of a degenerate diffusion system for heat-conducting fluids
Gianluca Favre, Ansgar Jüngel, Christian Schmeiser +1
The existence of global weak solutions to a parabolic energy-transport system in a bounded domain with no-flux boundary conditions is proved. The model can be derived in the diffus…
Hypocoercivity and Fast Reaction Limit for Linear Reaction Networks with Kinetic Transport
Gianluca Favre, Christian Schmeiser
The long time behavior of a model for a first order, weakly reversible chemical reaction network is considered, where the movement of the reacting species is described by kinetic t…
On a Navier-Stokes-Allen-Cahn model with inertial effects
Gianluca Favre, Giulio Schimperna
A mathematical model describing the flow of two-phase fluids in a bounded container is considered under the assumption that the phase transition process is influenced by inerti…