• I am a PhD student at the Laboratoire de Mathématiques de Besançon (Université Marie et Louis Pasteur).


  • Thesis

    • Title : Analysis and numerical simulation of gas transport in networks and multiphase fluid systems.
    • Supervisors : Carlotta DONADELLO, Ulrich RAZAFISON and Bastien POLIZZI.
    • Starting in October 2024.

    Research interests

    • Numerical analysis: finite volume methods for systems and scalar conservation laws
    • Partial differential equations: systems and scalar conservation laws
    • Applications: fluid mechanic and dynamic of population
    • Non local operator: fractional Laplacian (theory and numerical approximation)
    • Kinetic theory and numerical methods

    Publications

    Published
    • Carlotta DONADELLO, Alice GAUTHIER, Ulrich RAZAFISON, Massimiliano D. ROSINI Mathematical Modelling of One-Way Pressure-Activated Valves for Gas ESAIM:M2AN.
    In preparation
    • Nathaël ALIBAUD, Alice GAUTHIER, Espen R. JAKOBSEN Kinetic Schemes for Fractional Conservation Laws.
    • Alice GAUTHIER, Bastien POLIZZI, Ulrich RAZAFISON Numerical simulations for an hyperbolic model involving an age-structured vole population and long distance dispersal.

    CV en français. CV in english.

Address
Office 415B
03 81 66 64 65
Laboratoire de Mathématiques de Besançon
Université Marie et Louis Pasteur
16 route de Gray
25030 Besançon CEDEX
France
Contact
alice.gauthier@math.cnrs.fr