Major publications by the team in recent years
  • 1E. Audusse, M.-O. Bristeau, M. Pelanti, J. Sainte-Marie.

    Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model. Kinetic interpretation and numerical validation, in: J. Comput. Phys., 2011, vol. 230, pp. 3453-3478.

  • 2E. Audusse, M.-O. Bristeau, B. Perthame, J. Sainte-Marie.

    A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation, in: ESAIM Math. Model. Numer. Anal., 2011, vol. 45, pp. 169-200.

  • 3M.-O. Bristeau, B. Di Martino, C. Guichard, J. Sainte-Marie.

    Layer-averaged Euler and Navier-Stokes equations, Sep 2015, working paper or preprint.

  • 4J. Sainte-Marie.

    Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation, in: Math. Models Methods Appl. Sci. (M3AS), 2011, vol. 21, no 3, pp. 459-490.

Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journals

  • 6N. Aissiouene, M.-O. Bristeau, E. Godlewski, J. Sainte-Marie.

    A combined finite volume - finite element scheme for a dispersive shallow water system, in: Networks and Heterogeneous Media (NHM), January 2016, vol. 11, no 1, pp. 1-27.

  • 7E. Audusse, F. Bouchut, M.-O. Bristeau, J. Sainte-Marie.

    Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system, in: Mathematics of Computation, November 2016, vol. 85, pp. 2815-2837. [ DOI : 10.1090/mcom/3099 ]

  • 8J.-F. Babadjian, C. Mifsud, N. Seguin.

    Relaxation approximation of Friedrich's systems under convex constraints, in: Networks and Heterogeneous Media, 2016, vol. 11, no 2, pp. 223 - 237. [ DOI : 10.3934/nhm.2016.11.223 ]

  • 9F. Bouchut, I. R. Ionescu, A. Mangeney.

    An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows, in: Communications in Mathematical Sciences, 2016, vol. 14, no 8, pp. 2101-2126. [ DOI : 10.4310/CMS.2016.v14.n8.a2 ]

  • 10C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin.

    Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations, in: Communications in Mathematical Sciences, 2016, vol. 14, no 1, pp. 1-30.

  • 11D. Kazerani.

    Global existence for small data of the viscous Green-Naghdi type equations, in: Journal of Differential Equations, July 2016, vol. 261, no 1, pp. 762-796. [ DOI : 10.1016/j.jde.2016.03.022 ]

  • 12D. Kazerani.

    The symmetric structure of the Green-Naghdi type equations, in: Communications in Mathematical Sciences, August 2016, vol. 14, no 7, pp. 1925-1946. [ DOI : 10.4310/CMS.2016.v14.n7.a7 ]

  • 13M. Lachowicz, H. Leszczyński, M. Parisot.

    A simple kinetic equation of swarm formation: blow–up and global existence, in: Applied Mathematics Letters, January 2016. [ DOI : 10.1016/j.aml.2016.01.008 ]

  • 14M. Lachowicz, M. Parisot, Z. Szymańska.

    Intracellular protein dynamics as a mathematical problem, in: Discrete and Continuous Dynamical Systems - Series B (DCDS-B), February 2016.

  • 15C. Mifsud, B. Després, N. Seguin.

    Dissipative formulation of initial boundary value problems for Friedrichs' systems, in: Communications in Partial Differential Equations, January 2016, vol. 41, no 1. [ DOI : 10.1080/03605302.2015.1103750 ]

  • 16M. Parisot, M. Lachowicz.

    A Kinetic Model for the formation of Swarms with nonlinear interactions, in: Kinetic and Related Models , March 2016, vol. 9, no 1, 33 p. [ DOI : 10.3934/krm.2016.9.131 ]

  • 17M. Parisot, J.-P. Vila.

    Centered-potential regularization for the advection upstream splitting method, in: SIAM Journal on Numerical Analysis, 2016.


Other Publications

  • 18N. Aissiouene, T. Amtout, M. Brachet, E. Frénod, R. Hild, C. Prud 'homme, A. Rousseau, S. Salmon.

    Hydromorpho: A coupled model for unsteady Stokes/Exner equations and numerical results with Feel++ library, February 2016, working paper or preprint.

  • 19E. Audusse, C. Chalons, P. Ung.

    A simple three-wave Approximate Riemann Solver for the Saint-Venant–Exner equations, August 2016, working paper or preprint.

  • 20M.-O. Bristeau, D. Froger, R. Hamouda, A. Mangeney, J. Sainte-Marie, M. Vallée.

    Numerical simulations of 3d hydrostatic Navier-Stokes system with free surface, November 2016, working paper or preprint.

  • 21C. Cancès, C. Guichard.

    Numerical analysis of a robust free energy diminishing Finite Volume scheme for parabolic equations with gradient structure, 2016, to appear in Foundations of Computational Mathematics.

  • 22B. Di Martino, B. Haspot, Y. Penel.

    Global stability of weak solutions for a multilayer Saint-Venant model with interactions between the layers, December 2016, working paper or preprint.

  • 23J. Droniou, R. Eymard, T. Gallouët, C. Guichard, R. Herbin.

    The gradient discretisation method : A framework for the discretisation and numerical analysis of linear and nonlinear elliptic and parabolic problems, November 2016, working paper or preprint.

  • 24R. Eymard, P. Feron, C. Guichard.

    Family of convergent numerical schemes for the incompressible Navier-Stokes equations, October 2016, working paper or preprint.

  • 25E. D. Fernandez-Nieto, M. Parisot, Y. Penel, J. Sainte-Marie.

    Layer-averaged approximations for inviscid flow models, June 2016, working paper or preprint.

  • 26E. Godlewski, M. Parisot, J. Sainte-Marie, F. Wahl.

    Congested shallow water type model : roof modelling in free surface flow, September 2016, working paper or preprint.

  • 27M. Lachowicz, H. Leszczyński, M. Parisot.

    Blow-up and global existence for a kinetic equation of swarm formation, 2016, working paper or preprint.

  • 28C. Lusso, F. Bouchut, A. Ern, A. Mangeney.

    A free interface model for static/flowing dynamics in thin-layer flows of granular materials with yield: simple shear simulations and comparison to experiments, December 2016, working paper or preprint.

  • 29C. Lusso, F. Bouchut, A. Ern, A. Mangeney.

    Explicit solutions to a free interface model for the static/flowing transition in thin granular flows, August 2016, working paper or preprint.

  • 30C. Lusso, A. Ern, F. Bouchut, A. Mangeney, M. Farin, O. Roche.

    Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse, December 2016, working paper or preprint. [ DOI : 10.1016/j.jcp.2016.12.036 ]

References in notes
  • 31E. Audusse.

    A multilayer Saint-Venant model : Derivation and numerical validation, in: Discrete Contin. Dyn. Syst. Ser. B, 2005, vol. 5, no 2, pp. 189-214.
  • 32F. Bouchut, J. Sommer, V. Zeitlin.

    Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. part 2. high-resolution numerical simulations, in: J. Fluid Mech., 2004, vol. 514, pp. 35–63.
  • 33F. Bouchut, V. Zeitlin.

    A robust well-balanced scheme for multi-layer shallow water equations, in: Discrete Contin. Dyn. Syst. Ser. B, 2010, vol. 13, pp. 739-758.
  • 34M. Castro, J. García-Rodríguez, J. González-Vida, J. Macías, C. Parés, M. Vázquez-Cendón.

    Numerical simulation of two-layer shallow water flows through channels with irregular geometry, in: J. Comput. Phys., 2004, vol. 195, no 1, pp. 202–235.
  • 35S. Dellacherie.

    Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number, in: J. Comput. Phys., 2010, vol. 229, no 4, pp. 978–1016.
  • 36B. Després, C. Buet.

    The structure of well-balanced schemes for Friedrichs systems with linear relaxation, in: Appl. Math. Comput., 2016, vol. 272, pp. 440–459.
  • 37N. Goutal, M. Parisot, F. Zaoui.

    A 2D reconstruction for the transverse coupling of shallow water models, in: Int. J. Numer. Methods Fluids, 2014, vol. 75, no 11, pp. 775–799.