Research

Research interests:

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

Preprints:

  • N. Chaudhuri, M. A. Mehmood, C. Perrin, E. Zatorska.
    «Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system»
    preprint available on HAL

Publications:

  • A.-L. Dalibard, C. Perrin.
    «Local and global well-posedness of one-dimensional free-congested equations»
    to appear in Annales Henri Lebesque (preprint available on HAL )
  • N. Chaudhuri, L. Navoret, C. Perrin, E. Zatorska.
    «Hard congestion limit in a dissipative Aw-Rascle system»
    to appear in Nonlinearity (preprint disponible sur HAL )
  • F. Ancona, R. Bianchini, C. Perrin.
    «Hard congestion limit of the p-system in the BV setting»
    ESAIM: Proceedings and Surveys , vol. 72, pp. 41–63, 2023 (preprint disponible sur HAL )
  • C. Burtea, S. Gavrilyuk, C. Perrin.
    «Hamilton's principle of stationary action in multiphase flow modeling»
    Lecture notes to appear in Panorama et Synthèse (preprint available on HAL )
  • A.-L. Dalibard, G. Lopez-Ruiz, C. Perrin.
    «Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability»
    to appear in Indiana University Mathematics Journal (preprint available on HAL )
  • C. Perrin, K. Saleh.
    «Numerical staggered schemes for the free-congested Navier-Stokes equations»
    SIAM Journal on Numerical Analysis 60.4 (2022): 1824-1852 (preprint available on HAL )
  • A.-L. Dalibard, C. Perrin.
    «Partially congested propagation fronts in one-dimensional Navier-Stokes equations»
    Journal of Elliptic and Parabolic Equations 7.2 (2021): 491-507 (preprint available on HAL )
  • R. Bianchini, C. Perrin.
    «Soft congestion approximation to the one-dimensional constrained Euler equations»
    Nonlinearity, in press. (preprint available on HAL )
  • C. Perrin.
    «A remark on memory effects in constrained fluid systems»
    Proceeding «Workshop on Compressible Multiphase Flows» 2019, ESAIM: Proceedings and Surveys, December 2020, vol. 69, p. 56-69 (2020) ( HAL )
  • A.-L. Dalibard, C. Perrin.
    «Existence and stability of partially congested propagation fronts in a one-dimensional Navier-Stokes model»
    Communications in Mathematical Sciences, Vol. 18, n.7, p.1775-1813 (2020) ( HAL )
  • C. Perrin, K. Saleh.
    «A convergent FV - FE scheme for the stationary compressible Navier-Stokes equations»
    IMA Journal of Numerical Analysis, 2021, vol. 41, no 2, p. 826-899 ( HAL , version longue disponible ici )
  • D. Bresch, S. Necasova, C. Perrin.
    «Compression effects in heterogeneous media»
    Journal de l'École Polytechnique - Mathématiques Tome 6 (2019), p. 433-467 (improved version HAL )
  • C. Perrin.
    «An overview on congestion phenomena in fluid equations»
    Proceeding Journées EDP 2018 ( HAL )
  • C. Perrin, M. Westdickenberg.
    «One-dimensional granular system with memory effects»
    SIAM Journal of Mathematical Analysis, vol. 50(6), p.5921-5946, 2018 ( HAL )
  • C. Perrin.
    «Modelling of phase transitions in one-dimensional granular flows»
    ESAIM: Proceedings and Surveys, vol. 58, p. 78-97 (2017).
  • 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.
    «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)
  • 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)
  • 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)

PhD Thesis:


Recent talks:

  • Conference CEA/GAMNI, IHP Paris, January 2024
  • Workshop Fluid-Structure Interactions, Université Libre de Bruxelles, January 2024
  • Kick-off ANR BOURGEONS, Paris, January 2024
  • Analysis of PDEs seminar, Laboratoire de Mathématiques de Besançon, December 2023
  • HYPERBO Thematic Day, I2M Marseille, November 2023
  • Analysis Seminar CMAP, Ecole Polytechnique, November 2023
  • Conference "Stability, Mixing and Fluid Dynamics", Münster (Germany), August 2023
  • Conference "Maathrafic", Tours, June 2023
  • Conference "Local and non-local aspects in fluid mechanics", ICJ Lyon, March 2023
  • Conference MathFlows 2022, CIRM Marseille, December 2022
  • Conference "New trends in complex flows", IHP Paris, September 2022
  • CEMRACS seminar, CIRM Marseille, August 2022
  • Seminar of the LMA Lab., Marseille, June 2022
  • Workshop on Compressible Multiphase Flows, Strasbourg, May 2022
  • Conference in honour of Jean-Claude Saut on the occasion of his 75th birthday, Toulouse, May 2022
  • Meeting ANR SingFlows, Bordeaux, April 2022
  • PDEs seminar, IRMAR, Rennes, March 2022
  • Conference "Perspectives on Multiphase Fluid Dynamics,Continuum Mechanics and Hyperbolic Balance Laws", CIRM, mars 2022
  • PDEs Seminar, IRMA, Strasbourg, February 2022
  • Applied PDEs, Imperial College London, February 2022
  • Non-linear Analysis Seminar, LJLL-ENS, Paris, December 2022
  • Workshop "Turb1D", online, November 2021
  • Conference in fluid mechanics: qualitative analysis and asymptotic behavior of the solutions, Peyresq (France), September 2021
  • MSRI workshop "Recent Developments in Fluid Dynamics", online, April 2021
  • Joint seminar INRIA-LJLL (Online), January 2021
  • Seminar Necas (Online), Prague, November 2020
  • Conference "Vorticity, Rotation, Symmetry (V) – Global Results and Nonlocal Phenomena", CIRM, Marseille (France), October 2020

Research Groups, Projects, Programs:

  • ANR BOURGEONS (2024-2027), PI: A.-L. Dalibard
  • IMPT project "Modeling and mathematical analysis of complex gravity flows" 2022-2025
  • ANR CRISIS (2021-2024), PI: F. Fanelli

Past :