Research projects
Position:
Since January 2022 I am doing a PostDoc at the University of L'Aquila. Together with Simone Fagioli we are focusing on models for opinion formation on evolving networks.Hypocoercivity:
During my PhD studies, with the supervision of Prof. Christian Schmeiser, I worked on hypocoercivity for kinetic problems. Hypocoercivity is a strong tool to show exponential convergence to equilibrium with quantitative rates for spatially inhomogeneous kinetic equations.- I am working with Franca Hoffmann and Vincent Calvez on stability analysis for a kinetic bacterial chemotaxis model. We are trying to adapt the H^1 hypocoercivity approach - in the spirit of Dolbeault, Mouhot, Schmeiser theory - to the results obtained by Hoffmann and Calvez for the macrosopic case.
- Hypocoercivity and fast reaction limit for linear reaction networks with kinetic transport.
- Kinetic model with thermalization for a gas with energy conservation (with Marlies Pirner)
- Kinetic model describing the particles generation-recombination phenomenon (with Marlies Pirner). In this case we managed to prove hypocoercivity for the nonlinear system without smallness assumption, it is the first nonlinear hypocoercivity results in the literature.