↓Skip to main content

Table of Contents

Accepted or published in journal

  1. E. Franck, V. Michel-Dansac, L. Navoret, Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks, J. Comp. Phys., [ hal-04246991v2]

  2. M. Bestard, E. Franck L. Navoret, Y. Privat
    Optimal scenario for road evacuation in an urban environment
    ZAMP
    [ hal-04253010v1]

  3. N. Chaudhuri, L. Navoret, C. Perrin, E. Zatorska
    Hard congestion limit of the dissipative Aw-Rascle system
    Nonlinearity, 37, 2024.
    [ doi:10.1088/1361-6544/ad2b14] [ hal-03786853]

  4. S. Lo Vecchio, O. Pertz, M. Szopos, L. Navoret, D. Riveline
    Spontaneous rotations in epithelia as an interplay between cell polarity and RhoA activity at boundaries
    Nature Physics, 20, pp. 322–331, 2024.
    [ doi:10.1038/s41567-023-02295-x] [ hal-03427805]

  5. C. Courtès, E. Franck, K. Lutz, L. Navoret, Y. Privat
    Reduced modelling and optimal control of epidemiological individual‐based models with contact heterogeneity
    Optimal Control Applications and Methods, 45(2), pp. 459-493, 2024.
    [ doi:10.1002/oca.2970][ hal-03664271]

  6. M. Boileau, B. Bramas, E. Franck, R. Hélie, P. Helluy, L. Navoret
    Parallel kinetic scheme for transport equations in complex toroidal geometry
    The SMAI Journal of computational mathematics, 8, pp. 249-271, 2022.
    [ doi:10.3934/krm.2021044] [ hal-02404082v2]

  7. L. Bois, E. Franck, L. Navoret, V. Vigon
    A neural network closure for the Euler-Poisson system based on kinetic simulations
    Kinet. Relat. Models, 15(1), pp. 49-89, 2022.
    [ doi:10.3934/krm.2021044] [ hal-02965954]

  8. S. Lo Vecchio, R. Thiagarajan, D.Caballero, V. Vigon, L. Navoret, R. Voituriez, D. Riveline
    Cell motion as a stochastic process controlled by focal contacts dynamics
    Cell Systems, 10(6), 2020.
    [ doi:10.1016/j.cels.2020.05.005] [ hal-02886195]

  9. F. Bouchut, E. Franck, L.Navoret
    A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations
    J. Scientific Comput., 83 (24), 2020.
    [ doi:10.1007/s10915-020-01206-z] [ hal-02420859]

  10. C. Courtès, D. Coulette, E. Franck, L. Navoret
    Vectorial kinetic relaxation model with central velocity. Application to implicit relaxations schemes
    Commun. in Comput. Phys., 27, pp. 976-1013, 2020.
    [ doi:10.4208/cicp.OA-2019-0013 ] [ hal-01942317v1]

  11. M. Mehrenberger L Navoret, N. Pham
    Recurrence phenomenon for Vlasov-Poisson simulations on regular finite element mesh
    Commun. in Comput. Phys., 28, pp. 877-901, 2020.
    [ doi:10.4208/cicp.OA-2019-0022] [ hal-01942708]

  12. D. Coulette, E. Franck, P. Helluy, M. Mehrenberger, L. Navoret
    High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
    Computer and Fluids, 190, pp. 485-502, 2019.
    [ doi:10.1016/j.compfluid.2019.06.007 ] [ hal-0170661]

  13. F. Drui, E. Franck, P. Helluy, L. Navoret
    An analysis of over-relaxation in kinetic approximation
    Comptes Rendus Mécanique, 347(3), 259-269, 2019
    [ doi:10.1016/j.crme.2018.12.001] [ hal-01839092]

  14. B. Grec, B. Maury, N. Meunier, L. Navoret
    A 1D model of leukocyte adhesion coupling bond dynamics with blood velocity
    Journal of theoretical biology, 452, 35-46, 2018.
    [ doi:10.1016/10.1016/j.jtbi.2018.02.021] [ hal-01566770]

  15. P. Degond, P. Minakowski, L. Navoret, E. Zatorska
    Finite volume approximations of the Euler system with variable congestion
    Computers and Fluids, 169, pp. 23–39, 2018.
    [ doi:10.1016/j.compfluid.2017.09.007] [ hal-01651479]

  16. S. Guisset, M. Gutnic, P. Helluy, M. Massaro, L. Navoret, N. Pham, M. Roberts
    Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson
    ESAIM: Proc., 53, pp. 120-132. 2016.
    [ doi:10.1051/proc/201653008] [ hal-01239673]

  17. P. Degond, L. Navoret
    A multi-layer model for self-propelled disks interacting through alignment and volume exclusion
    Math. Models Methods Appl. Sci., 25(13), 2439-2475, 2015.
    [ doi:10.1142/S021820251540014X ] [ hal-01118377]

  18. P. Helluy, L. Navoret, Nhung Pham, A. Crestetto
    Reduced Vlasov-Maxwell simulations
    Comptes Rendus Mécanique, 342(10-11):619–635, 2014.
    [ doi:10.1016/j.crme.2014.06.008] [ hal-00957045]

  19. L. Navoret
    A two-species hydrodynamic model of particles interacting through self-alignment
    Math. Models Methods Appl. Sci., 23, pp. 1067, 2013.
    [ doi:10.1142/S0218202513500036] [ arXiv:1401.1379]

  20. S. Motsch, L. Navoret
    Numerical simulation of a non-conservative hyperbolic problem with geometric constraints describing swarming behaviour
    Multiscale Model. Simul., 9(3), pp. 1253-1275, 2011.
    [ doi:10.1137/100794067] [n arxiv:0910.2951]

  21. P. Degond, J. Hua, L. Navoret
    Numerical simulations of the Euler system with congestion constraint
    J. Comp. Phys., 230(22), pp. 8057-8088, 2011.
    [ doi:10.1016/j.jcp.2011.07.010] [ hal-01651479v1]

  22. P. Degond, F. Deluzet, L. Navoret, A.-B. Sun, M.-H. Vignal
    Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasi-neutrality
    J. Comp. Phys., 229(16), pp. 5630-5652, 2010.
    [ doi:10.1016/j.jcp.2010.04.001] [ hal-00629561]

  23. P. Degond, L. Navoret, R. Bon, D. Sanchez
    Congestion in a macroscopic model of self-driven particles modeling gregariousness
    J. Stat. Phys., vol. 138, pp. 85-125 (2010)
    [ doi:10.1007/s10955-009-9879-x ] [ hal-00409844]

  1. E. Franck, I. Lannabi, Y. Nasseri, L. Navoret, G. Parasiliti, G. Steimer.
    Hyperbolic reduced model for Vlasov-Poisson equation with Fokker-Planck collision ESAIM: Proc. and Surveys
    [ hal-04099697]

  2. M. Mehrenberger, L. Navoret, A.-T. Vu
    Composition schemes for the guiding-center model
    FVCA, 2023.
    [ doi:10.1007/978-3-031-40860-1_25] [ hal-04035921]

  3. E. Franck, L. Navoret
    Semi-implicit two-speed Well-Balanced relaxation scheme for Ripa model
    FVCA, 2020.
    [ doi:10.1007/978-3-030-43651-3_70] [ hal-02407820]

  4. R. Hélie, P. Helluy, E. Franck, L. Navoret
    Kinetic over-relaxation method for the convection equation with Fourier solver
    FVCA, 2020.
    [ doi:10.1007/978-3-030-43651-3_71] [ hal-02427044]

  5. A. Cucchi, C. Etchegaray, N. Meunier, L. Navoret, L. Sabbagh
    Cell migration in complex environments: chemotaxis and topographical obstacles
    ESAIM: Proceedings and Surveys.
    [ doi:10.1051/proc/202067012] [ hal-02126709v2]

  6. M. Badsi, M. Mehrenberger, L. Navoret
    Numerical stability of plasma sheath
    ESAIM:Proceedings and Surveys, 64, 17-36, 2018.
    [ doi:10.1051/proc/201864017] [ hal-01676656]

  7. D. Coulette, E. Franck, P. Helluy, M. Mehrenberger, L. Navoret
    Palindromic discontinuous Galerkin method
    FVCA 2017: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problem, pp 171-178, 2017.
    [ doi:10.1007/978-3-319-57394-6_19] [ hal-01653049]

  8. C. Etchegaray, B. Grec, B. Maury, N. Meunier, L. Navoret
    An integro-differential equation for 1D cell migration
    Integral Methods in Science and Engineering (IMSE), 2014, Karlsruhe, Germany. Springer, pp.195-207, 2015, Integral Methods in Science and Engineering – Theoretical and Computational Advances.
    [ doi:10.1007/978-3-319-16727-5_17] [ hal-01083510]

  9. P. Helluy, M. Massaro, L. Navoret, N. Pham, and T. Strub
    Reduced Vlasov-Maxwell modeling
    In PIERS Proceedings, Guangzhou, 2014, pages 2628–2632, 2014.
    [ hal-01097228]

  10. N. Pham, P. Helluy, L. Navoret
    Hyperbolic approximation of the Fourier transformed Vlasov equation
    In ESAIM: Proc., Congrés SMAI, Seignosse, 27-31 mai 2013, volume 45, pages 379–389. EDP Sciences, 2014.
    [ doi:10.1051/proc/201445039] [ hal-00872972]

  11. P. Degond, A. Frouvelle, J.-G. Liu,S. Motsch, L. Navoret
    Macroscopic models of collective motion and self-organization
    Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exp. No. 1, 27 p.
    [ numdam:10.5802/slsedp.32]

  12. M. Billaud Friess, B. Boutin, F. Caetano, G. Faccanoni, S. Kokh, F. Lagoutière, L. Navoret
    A second order anti-diffusive Lagrange-Remap scheme for two-component flows
    ESAIM: Proc., vol. 32, p. 149-162 (2011) doi:10.1051/proc/2011018 [ hal-00708605]

  13. F. Charles, N. Vauchelet, C. Besse, T. Goudon, I. Lacroix-Violet, J.-P. Dudon, L. Navoret
    Numerical approximation of Knudsen layer for the Euler-Poisson system
    ESAIM: Proc., vol. 32, p. 177-194 (2011)
    [ doi:10.1051/proc/2011020] [ hal-00905329]

  14. L. Navoret, R. Bon, P. Degond, J. Gautrais, D. Sanchez, G. Theraulaz
    Analogies between social interactions models and supply chains
    ECMI 2008 Proceedings (2010)
    [ doi:10.1007/978-3-642-12110-4_84] [ hal-01872081v1]

  15. P. Degond, F. Deluzet, L. Navoret
    An asymptotically stable Particle-in-Cell (PIC) scheme for collisionless plasma simulations near quasineutrality
    C. R. Acad. Sci. Paris, Ser I, vol. 343, pp. 613-618 (2006)
    [ doi:10.1016/j.crma.2006.09.033]

↑