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Favre Gianluca

gianluca.favre (at) univie.ac.at

Research projects

Main:
With the supervision of Prof. Christian Schmeiser, I'm studying the long time behavior for kinetic problems. We are focusing on convergence to equilibrium problems, especially those involving hypocoercivity. Hypocoercivity is a strong tool to show exponential convergence to equilibrium with quantitative rates for spatially inhomogeneous kinetic equations.
  • 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)
Side projects:
  • I am working with Franca Hoffmann on stability analysis for a kinetic bacterial chemotaxis model. We are trying to adapt the L^2 hypocoercivity approach [Dolbeault-Mouhot-Schmeiser] to the results obtained by Hoffmann and Calvez for the macrosopic case. Vincent Calvez is involved in this project too.
  • In collaboration with Paul Stocker I worked on the numerics for a kinetic model describing thermalization where the energy exchange with the background is considered. In particular, the thermal and the kinetic energy are exchanged between the moving particles and the background. (A fancy simulation showing the local convergence of the velocity distribution towards the Maxwellian)
  • Paul Stocker and me are collaborating with Prof. Karel Svadlenka at the University of Kyoto. The goal is to have a better understanding of the models based on interface networks describing the molecules adhesion.
  • I also worked with Prof. Giulio Schimperna on existence and regularities results for coupled Navier-Stokes and Allen-Cahn systems.
Future projects (?):
  • Opinion formation considerering ranked agents based on their global influence and popularity is a topic that I would understand better. Toghether with Marie-Therese Wolfram, we are trying to find an appropriate model for this problem.
  • Modelling and long time behavior for a model describing particles interacting and exchanging energy with the background, i.e. kinetic reaction equation coupled with parabolic equation for the thermal energy and a third equation describing the evolution of the internal energy of each particle.
  • Open to new problem :)

Publications

Published:
  1. 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 ] [ bibtex ] [ bibitem ]
  2. 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 ] [ bibtex ] [ bibitem ]


Coming soon:
  1. G. Favre, A. Jüngel, C. Schmeiser, N. Zamponi
    Existence Analysis of a Degenerate Diffusion System for Heat-Conducting Fluids
  2. G. Favre, M. Pirner, C. Schmeiser
    Kinetic model with thermalization for a gas with total energy conservation
  3. G. Favre, M. Pirner, C. Schmeiser
    Rigorous derivation of a reaction diffusion system from a kinetic model
  4. G. Favre, P. Stocker
    Numerical results in dimension 2 for a coupled system of kinetic and parabolic equations


Ongoing:
  1. G. Favre, P. Stocker, K. Svadlenka
    An interface-bulk coupled model for cellular rearrengement
  2. V. Calvez, G. Favre, F. Hoffmann
    Stability analysis for a kinetic bacterial chemotaxis model
  3. G. Favre, M.T. Wolfram
    Opinion formation with ranked agents

Scientific activities

Fellowship:
Long Research Stays:
Invited Talks:
Invited Workshop:
Contributed Talk:

Short CV

Graduated in Theoretical Physics at the University of Pavia.
Six months Erasmus in Coimbra (Portugal).
Two months Erasmus in Poitiers (France)

From the 1st October 2017 I am a PhD student in Math at the University of Vienna under the supervision of Prof. Christian Schmeiser.
Four months visiting at LJLL, Sorbonne Université (Pierre et Marie Curie).

From 18th October 2019 to the end of the year I was at the California Institute of Technology (Caltech-Pasadena) hosted by Franca Hoffmann. With Franca we are using the hypocoercivity theory for a chemotaxis model.

During March 2020 I was at the University of Kyoto. There I collaborated with Prof. Karel Svadlenka and Paul Stocker on cells aggregation problems.

Miscellaneous

My Google Scholar.

My account on ResearchGate.

My papers on arXiv.

My ORCID.

My Scopus stats.

Vienna School of Mathematics.

Dissipation and Dispersion in Nonlinear PDEs.

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Giasoniano
Courmayeur (GS) and Bormio (SG)
Newport Beach (CA)
Party
Corsica with Anna
Giasone campione!
Interrail
Praia da Barra
Petit Tournalin
Japan

Contacts

gianluca.favre (at) univie.ac.at

Room 04.125
Oskar-Morgenstern-Platz 1,
1090 Wien, AUT