Web Page of

Favre Gianluca

gianluca.favre (at) univaq.it

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.
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.

Scientific publications

    Accepted:
  1. G. Favre, M. Pirner, C. Schmeiser
    Hypocoercivity and reaction-diffusion limit for a nonlinear generation-recombination model
    Accepted by ARMA - Archive for Rational Mechanics and Analysis - 2023
    [ ArXiv ]

    2. Published:
  2. G. Favre, M. Pirner, C. Schmeiser
    Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit
    Published in Kinetic & Related models - 2022
    [ journal ] [ ArXiv ]

  3. G. Favre, A. Jüngel, C. Schmeiser, N. Zamponi
    Existence analysis of a degenerate diffusion system for heat-conducting gases
    Published in Nonlinear Differential Equations and Applications - NoDEA - 2021
    [ journal ] [ ArXiv ]

  4. G. Favre, C. Schmeiser
    Hypocoercivity and Fast Reaction Limit for Linear Reaction Networks with Kinetic Transport
    Published in Journal of Statistical Physics - 2020
    [ journal ] [ ArXiv ]

  5. G. Favre, G. Schimperna
    On a Navier-Stokes-Allen-Cahn model with inertial effects
    Published in Journal of Mathematical Analysis and Applications - 2019
    [ journal ] [ ArXiv ]

    6. Forthcoming:
  6. V. Calvez, G. Favre, F. Hoffmann
    Stability analysis for a kinetic bacterial chemotaxis model

  7. S. Fagioli, G. Favre
    Opinion formation on evolving network through DPA method


    8. Ongoing:
  8. G. Favre, G. Jankowiak, S. Merino-Aceituno, L. Trussardi
    Opinion formation on evolving network through DPA method

  9. G. Favre, A. Pederneschi, M.T. Wolfram
    Topic: Modeling echo chambers and epistemic bubbles

Non scientific publication

  • G. Favre
    Il prezzo della poesia
    Collection of poems, published by Gattomerlino - 2021
    ISBN 9788866831402

    • Scientific activities

    Organization of events:
    Fellowship:
    Long Research Stays:
    Invited Talks:
    Invited Workshop:
    Contributed Talk:

    Short CV

    - Graduated in Theoretical Physics at the University of Pavia.
    - Ski instructor in Champoluc, Ayas
    - PhD at the University of Vienna with Christian Schmeiser

    - Four months visiting at LJLL, Sorbonne Université (Pierre et Marie Curie), Paris (France).
    - Two months at Caltech (Pasadena, CA, USA) guest of Franca Hoffmann
    - One month at the University of Kyoto working with Karel Svadlenka

    - Four months at HCM Bonn guest of Franca Hoffmann
    - Organization of GKR21
    - PostDoc position at University of L'Aquila

    Miscellaneous

    My Google Scholar.

    My account on ResearchGate.

    My papers on arXiv.

    My ORCID.

    My Scopus stats.

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    Contacts

    gianluca.favre (at) univaq.it

    Via Vetoio, Coppito 1
    Department of Information Engineering, Computer Science and Mathematics
    University of L'Aquila
    67100, L'Aquila (IT)