Research

Research interests:

  • Mathematical modelling, partial differential equations
  • Fluid mechanics, multi-phase flows, granular flows, collective motion

PhD Thesis:


Papers:

  • D. Bresch, C. Perrin, E. Zatorska.
    «A singular Limit of Navier-Stokes System Leading to a Free/Congested zones Two-Phase Model».
    C. R. Acad. Sci. Paris.,vol. 352, Iss. 9 p. 685--690 (2014)
  • C. Perrin, E. Zatorska.
    «Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations»
    Communications in Partial Differential Equations, vol. 40, Iss. 8, p. 1558-1589 (2015)
  • C. Perrin.
    «Pressure Dependent Viscosity Model for Granular Media Obtained from Compressible Navier-Stokes Equations»
    Appl Math Res Express, vol. 2016, Iss. 2, p. 289-333 (2016)
  • M. Fabre, S. Faure, M. Laurière, B. Maury, C. Perrin.
    «Non classical solution of a conservation law arising in vehicular traffic»
    ESAIM: Proceedings and Surveys, vol. 55, p. 131-147, (2016).
  • C. Perrin.
    «Modelling of phase transitions in one-dimensional granular flows»
    ESAIM: Proceedings and Surveys, vol. 58, p. 78-97 (2017).
  • C. Perrin, M. Westdickenberg.
    «One-dimensional granular system with memory effects»
    To appear in SIAM Journal of Mathematical Analysis ( preprint ArXiv )

Preprint:

  • C. Perrin, M. Westdickenberg.
    «One-dimensional granular system with memory effects»
    Submitted ( preprint ArXiv )
  • D. Bresch, S. Necasova, C. Perrin.
    «Compression effects in heterogeneous media»
    Soumis ( preprint ArXiv )

Recent talks:

  • Seminar, University College London, October 2018
  • Seminar, Laboratoire de Mécanique et d'Acoustique (Marseille, France), October 2018
  • MathFlows 2018, Porquerolles, September 2018
  • Colloque franco-roumain, Bordeaux, August 2018
  • Journées EDP, Obernai (France), June 2018
  • Nice-Toulon-Marseille Meeting, May 2018
  • Seminar of the Jacques-Louis Lions Laboratory, Paris, May 2018
  • Analysis seminar, Laboratoire J.A. Dieudonné Nice (France), March 2018
  • Analysis seminar, Basel University (Switzerland), March 2018
  • Workshop on kinetic and fluid Partial Differential Equations, Paris, March 2018
  • MIP Team Seminar, IMT Toulouse, December 2017
  • Workshop «Numerical schemes for low Mach flows», IMT Toulouse (France), November 2017
  • Analysis seminar, UCL Louvain-La-Neuve (Belgium), November 2017
  • Analysis seminar, IECL Nancy (France), October 2017
  • Conference Dispersive Hydrodynamics and Oceanography, les Houches (France), August 2017
  • Oberseminar, Bonn University (Germany), June 2017
  • Conference Vorticity, Rotation and Symmetry (IV) - Complex Fluids and the Issue of Regularity, CIRM Marseille (France), May 2017
  • Applied analysis seminar, Institut de Mathématiques de Marseille (France), April 2017
  • Numerical Analysis and PDEs seminar, Laboratoire de mathématiques d'Orsay (France), March 2017
  • Journées Jeunes EDPistes Français, Autrans (France), March 2017
  • CEA-SMAI/GAMNI Seminar, IHP, Paris (France), January 2017
  • Conference Mathflows2017, Bedlewo (Poland), January 2017

Summer/winter Schools:

  • Oberwolfach seminar November 2014
    «Analysis of compressible Navier-Stokes equations and related topics»
  • CEMRACS July-August 2015 «Coupling Multi-Physics Models involving Fluids»
    Research project «Crowd Motion» proposed by B. Maury and S. Faure (joint work with M. Fabre and M. Laurière)

Research Groups, Projects:

  • GDR Films : talks in Aussois (April 2014), Lyon (October 2014), Aussois (December 2015)
  • Projet Exploratoire 2014 de la cellule Energie du CNRS, Dynafilm
  • Dyficolti Project