Research interests

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.

Opinion formation:

Social networks and social media drastically changed the scales and the way how the opinion is spread and formulate. Philosophist and social scientists are proposing new epistemic theories describing the way how the individuals behave when interacting on social networks or with social media. The epistemic process can be influenced by the network, the opinion distance, the stubborness, ... These situation can bring to consensus, or echo chamber, or filter bubble. These phenomena are more and more related to polarization and radicalization of the opinion.