Thèse : |
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Méthodes asymptotico-numériques pour des problèmes issus de la physique des plasmas
et de la modélisation des interactions sociales
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[TEL],
Exposé [pdf] |
Prépublications :
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L. Bois, E. Franck, L. Navoret, V. Vigon,
A neural network closure for the Euler-Poisson system based on kinetic simulations ,
soumis
[preprint] |
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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 ,
soumis
[preprint] |
Publications:
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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.
[preprint]
[Journal] |
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C. Courtès, D. Coulette, E. Franck, L. Navoret, Vectorial kinetic relaxation model with central velocity. Application to implicit relaxations schemes, accepté dans Commun. in Comput. Phys., 2020. [preprint] |
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M. Mehrenberger L Navoret, N. Pham, Recurrence phenomenon for Vlasov-Poisson simulations on regular finite element mesh, accepté dans Commun. in Comput. Phys., 2020. [preprint] |
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D. Coulette, E. Franck, P. Helluy, M. Mehrenberger, L. Navoret, High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation, Computer and Fluids, vol. 190, p. 485-502, 2019. [preprint] |
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F. Drui, E. Franck, P. Helluy, L. Navoret, An analysis of over-relaxation in kinetic approximation, Comptes Rendus Mécanique, 347 (3), 259-269, 2019 [preprint] |
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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.
[preprint]
[Journal] |
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P. Degond, P. Minakowski, L. Navoret, E. Zatorska, Finite volume approximations of the Euler system with variable congestion, Computers and Fluids, p. 23–39, 2018. [preprint] |
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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, 120-132. 2016 [preprint] |
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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 [Arxiv] |
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P. Helluy, L. Navoret, Nhung Pham, A. Crestetto, Reduced Vlasov-Maxwell simulations, Comptes Rendus Mécanique, 342(10-11):619–635 (2014) |
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L. Navoret,
A two-species hydrodynamic model of particles interacting through self-alignment,
Math. Models Methods Appl. Sci., vol. 23, pp. 1067 (2013)
[preprint]
[Journal] |
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S. Motsch, L. Navoret, Numerical simulation of a non-conservative hyperbolic problem with geometric constraints describing swarming behaviour, Multiscale Model. Simul., vol. 9, n°3, pp. 1253-1275 (2011) [preprint] [Journal] |
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P. Degond, J. Hua, L. Navoret,
Numerical simulations of the Euler system with congestion constraint,
J. Comp. Phys., vol. 230, n°22, pp. 8057-8088 (2011)
[preprint]
[Journal] |
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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., vol. 229, n°16, pp. 5630-5652 (2010)
[preprint]
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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) [preprint] [Journal] |
Article de conférences :
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E. Franck, L. Navoret,
Semi-implicit two-speed Well-Balanced relaxation scheme for Ripa model , FVCA, 2020.
[preprint]
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R. Hélie, P. Helluy, E. Franck, L. Navoret,
Kinetic over-relaxation method for the convection equation with Fourier solver , FVCA, 2020.
[preprint]
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A. Cucchi, C. Etchegaray, N. Meunier, L. Navoret, L. Sabbagh,
Cell migration in complex environments: chemotaxis and topographical obstacles , to appear in ESAIM: Proceedings and Surveys.
[preprint]
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M. Badsi, M. Mehrenberger, L. Navoret,
Numerical stability of plasma sheath, ESAIM:Proc., 64, 17-36, 2018.
[preprint]
[Journal]
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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 Problems, pp 171-178, 2017. [preprint] |
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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. [preprint] |
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P. Helluy, M. Massaro, L. Navoret, N. Pham, and T. Strub, Reduced Vlasov-Maxwell modeling, In PIERS Proceedings, Guangzhou, 2014, pages 2628–2632, 2014. |
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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. |
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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.
[preprint]
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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)
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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)
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L. Navoret, R. Bon, P. Degond, J. Gautrais, D. Sanchez, G. Theraulaz,
Analogies between social interactions models and supply chains,
ECMI 2008 Proceedings (2010)
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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)
[Journal] |