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Favre Gianluca

gianluca.favre (at) univie.ac.at

Research projects

Main:
With Prof. Christian Schmeiser we study the long time behavior of system of particles described by kinetic equations. In particular convergence to equilibrium problems, 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)
Side projects:
  • With Franca Hoffmann we are working 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 obtain from Hoffmann and Calvez for the macrosopic case. Vincent Calvez is involved to this project too.
  • Togheter with Paul Stocker we did the numerics for a kinetic model describing thermalization where the enrgy 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)
  • With Paul Stocker we 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 (?):
  • Existence and regularity results for a cross diffusion system arising from the macroscopic limit of the kinetic model with exchange of energy studied with Schmeiser and Pirner.
  • 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.
  • Everything else :)

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
    [ 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
    [ journal ] [ ArXiv ] [ bibtex ] [ bibitem ]


Coming soon:
  1. G. Favre, M. Pirner, C. Schmeiser
    Kinetic model with thermalization for a gas with total energy conservation


  2. G. Favre, P. Stocker
    Numerical results in dimension 2 for a coupled system of kinetic and parabolic equations


Scientific activities

Fellowship:
Long research stays:
Invited talks:
Contributed talks:

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.

From the 9th of March to the 12 of April (2020) I will be at the University of Kyoto. There I will collaborate 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)
Party
Corsica with Anna
Giasone campione!
Interrail
Praia da Barra
Petit Tournalin

Contacts

gianluca.favre (at) univie.ac.at

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