Papers submitted to refered international journals, preprints

  • N.Besse,
    Analysis of the spectral relaxation method and the spectral purging method for nonlinear conservation laws,

Papers published or accepted in refered international journals

  • F. Moller, N. Besse, I. Mazets, H.-P. Stimming, N. Mauser,
    The dissipative generalized hydrodynamic equations and their numerical solution,
    J. Comput. Phys. 493 (2023) 112431. PDF
  • N. Besse,
    Stochastic Lagrangian perturbation of Lie transport and applications to fluids,
    Nonlinear Analysis 232 (2023) 113249. PDF
  • N. Besse,
    Lagrangian regularity of the electron magnetohydrodynamics flow on a bounded domain,
    J. Math. Anal. Appl. 511 (2022) 126076. PDF
  • C. Bardos, N. Besse,
    About the derivation of quasilinear approximation in plasma physics,
    Appl. Numeri. Harmon. Anal. 111 (2023) 247-279. PDF
  • T. Hertel, N. Besse, U. Frisch,
    The Cauchy-Lagrange method for 3D-axisymmetric wall-bounded and potentially singular incompressible Euler flows,
    J. Comput. Phys. 449 (2022) 110758. PDF
  • C. Bardos, N. Besse,
    Diffusion limit of the Vlasov equation in the weak turbulent regime,
    J. Math. Phys. 62 (2021) 101505. PDF
  • S.D. Murugan, U. Frisch, S. Nazarenko, N.Besse, S.S. Ray,
    Suppressing thermalisation and constructing weak solutions in truncated inviscid equations of hydrodynamcis: Lessons from Burgers equation,
    Phys. Rev. Research 2 (2020) 033202. PDF
  • N. Besse,
    Regularity of the geodesic flow of the incompressible Euler equations on a manifold,
    Commun. Math. Phys., 375 (2020) 2155-2189. PDF
  • C. Bardos, N. Besse, T.T. Nguyen,
    Onsager type conjecture and renormalized solutions for the relativistic Vlasov-Maxwell system,
    Quart. Appl. Math., 78 (2019) 163-217. PDF
  • N. Besse, P. Bechouche,
    Regularity of weak solutions for the relativistic Vlasov-Maxwell system,
    J. Hyperbolic Differ. Equ., 15 (2018) 693-719. PDF
  • N. Besse, U. Frisch,
    Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces
    J. Fluid. Mech., 825 (2017), 412-478. PDF
  • D. Coulette, N. Besse,
    Numerical resolution of the global eigenvalue problem for the gyrokinetic-waterbag model in toroidal geometry,
    J. Plasma Phys., 83 (2017), 905830207. PDF
  • N. Besse, U. Frisch,
    A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain
    Commun. Math. Phys., 351 (2017), 689-707. PDF
  • N. Besse, E. Deriaz, E. Madaule,
    Adaptive multiresolution semi-Lagrangian discontinuous Galerkin methods for the Vlasov equations
    J. Comput. Phys., 332 (2017), 376-417. PDF
  • N. Besse, D. Coulette,
    Asymptotic and spectral analysis of the gyrokinetic-waterbag integro-differential operator in toroidal geometry
    J. Math. Phys., 57 (2016), 081518. PDF
  • N. Besse,
    Discontinuous Galerkin finite element methods for the gyrokinetic-waterbag equations
    IMA J. Numer. Anal., 37 (2017), 985-1040. PDF
  • C. Bardos, N. Besse,
    Semi-classical limit of an infinite dimensional system of nonlinear Schrödinger equations,
    Bull. Inst. Math. Acad. Sin., 11 (2016), 43-61. PDF
  • N. Besse,
    Lagrangian averaged gyrokinetic-waterbag continuum,
    Commun. Math. Sci., 14 (2016), 593-626. PDF
  • C. Bardos, N. Besse,
    Hamiltonian structure, fluid representation and stability for the Vlasov-Dirac-Benney equation,
    Fields Inst. Commun., 75 (2015), 1-30. PDF
  • P. Morel, F. Dreydemy Ghiro, V. Berionni, D. Coulette, N. Besse, O. Gurcan,
    A Multi-water-bag model of drift-kinetic electron plasma
    Eur. Phys. J. D, 68 (2014), 220. PDF
  • C. Bardos, N. Besse,
    The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in fluid mechanics and semi-classical limits,
    Kinetic and Related Models, 6 (2013), 893-917. PDF
  • D. Coulette, N. Besse,
    Multi-water-bag models of ion temperature gradient instability in cylindrical geometry,
    Phys. Plasmas, 20 (2013), 052107. PDF
  • D. Coulette, N. Besse,
    Numerical comparisons of gyrokinetic multi-water-bag models,
    J. Comput. Phys., 248 (2013), 1-32. PDF
  • N. Besse,
    Global weak solutions for the relativistic waterbag continuum
    Math. Mod. Meth. Appl. Sci., 22 (2012), 1150001. PDF
  • P. Morel, E. Gravier, N. Besse, R. Klein, A. Ghizzo, P. Bertrand, C. Bourdelle, X. Garbet,
    Water-bag modeling of a multispecies plasma
    Phys. Plasmas, 18 (2011), 032512. PDF
  • N. Besse, Y. Elskens, D. Escande, P. Bertrand,
    Validity of quasilinear theory: refutations and new numerical confirmation,
    Plasma Phys. Control. Fusion, 53 (2011), 025012. PDF
  • N. Besse,
    On the waterbag continuum,
    Arch. Rational Mech. Anal., 199 (2011), 453-491. PDF
  • N. Besse,
    On the Cauchy problem for the gyro-water-bag model,
    Math. Mod. Meth. Appl. Sci., 21 (2011), 1839-1869. PDF
  • R. Klein, E. Gravier, J.-H. Chatenet, N. Besse, P. Bertrand, X. Garbet,
    The gyrokinetic Water-bag modeling in toroidal geometry,
    Eur. Phys. J. D, 62 (2011), 413-420. PDF
  • P. Bechouche, N. Besse,
    Analysis of a semi-Lagrangian method for the spherically symmetric Vlasov-Einstein system,
    ESAIM: M2AN, 44 (2010), 573-595. PDF
  • R. Klein, E. Gravier, P. Morel, N. Besse, P. Bertrand,
    Gyrokinetic water-bag modeling of a plasma column: magnetic moment distribution and finite Larmor radius effects,
    Phys. Plasmas, 16 (2009), 082106. PDF
  • N. Besse, P. Bertrand,
    Gyro-water-bag approach in nonlinear gyrokinetic turbulence,
    J. Comput. Phys., 228 (2009), 3973-3995. PDF
  • N. Besse, F. Berthelin, Y. Brenier, P. Bertrand,
    The multi-water-bag equations for collisionless kinetic modeling,
    Kinetic and Related Models, 2 (2009), 39-90. PDF
  • E. Gravier, R. Klein, P. Morel, N. Besse, P. Bertrand,
    Gyrokinetic-water-bag modeling of low-frequency instabilities in a laboratory magnetized plasma column,
    Phys. Plasmas, 15 (2008), 122103. PDF
  • N. Besse, P. Bertrand, P. Morel, E. Gravier,
    Weak turbulence theory and simulation of the gyro-water-bag model,
    Phys. Rev. E, 77 (2008), 056410. PDF
  • N. Besse, P. Bertrand,
    Quasi-linear analysis of the gyro-water-bag model,
    Europhys. Lett., 83 (2008), 25003. PDF
  • N. Besse, G. Latu, A. Ghizzo, E. Sonnendrücker, P. Bertrand,
    A Wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system
    J. Comput. Phys., 227 (2008), 7889-7916. PDF
  • X. Garbet, Y. Sarazin, V. Grandgirard, G. Dif-Pradalier, G. Darmet, Ph. Gendrih, P. Angelino, P. Bertrand, N. Besse, E. Gravier, P. Morel, E. Sonnendrücker, N. Crouseilles, J-M. Dischler, G. Latu, E. Violard, M. Brunetti, S. Brunner, X. Lapillonne, T.-M. Tran, L. Villard, M. Boulet,
    Beyond scale separation in gyrokinetic turbulence,
    Nucl. Fusion, 47 (2007), 1206-1212. PDF
  • D. Del Sarto, A. Ghizzo, T. Réveillé, N. Besse, P. Bertrand,
    Application of a semi-Lagrangian scheme in the relativistic regime of laser interaction with an overdense plasma slab,
    Commun. Nonlinear Sci. Numer. Simul., 13 (2008), 59-64. PDF
  • P. Morel, E. Gravier, N. Besse, R. Klein, A. Ghizzo, P. Bertrand, X. Garbet, Ph. Gendrih, V. Grandgirard, Y. Sarazin,
    Gyrokinetic modelling: a multi water bag approach,
    Phys. Plasmas, 14 (2007), 112109. PDF
  • N. Besse,
    Convergence of a high-order semi-Lagrangian scheme with propagation of gradients for the Vlasov-Poisson system,
    SIAM, J. Numer. Anal., 46 (2008), 639-670. PDF
  • N. Besse, N.J. Mauser, E. Sonnendrücker,
    Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena,
    Int. J. Appl. Math. Comput. Sci., 17 (2007), 361-374. PDF
  • P. Morel, E. Gravier, N. Besse, A. Ghizzo, P. Bertrand,
    The water bag model and gyrokinetic applications,
    Commun. Nonlinear Sci. Numer. Simul., 13 (2008), 11-17. PDF
  • A. Ghizzo, D. DelSarto, T. Réveillé, N. Besse, R. Klein,
    Self-transparency scenario revisted via the beating of the pump wave and its reflected wave in one dimensional moderately
    overdense plasma layer
    Phys. Plasmas, 14 (2007), 062702. PDF
  • V. Grandgirard, Y. Sarazin, X. Garbet, G. Dif-Pradalier, Ph. Ghendrih, N. Crouseilles, G. Latu, E. Sonnendrücker, N. Besse and P. Bertrand,
    Computing ITG turbulence with a full-f semi-Lagrangian code,
    Commun. Nonlinear Sci. Numer. Simul., 13 (2008), 81-87. PDF
  • Y. Sarazin, V. Grandgirard, G. Dif-Pradalier, E. Fleurence, X. Garbet, Ph. Gendrih, P. Bertrand, N. Besse, N. Crouseilles, E. Sonnendrücker, G. Latu, E. Violard,
    Impact of large scale flows on turbulent transport,
    Plasma Phys. Control. Fusion, 48 (2006), B179-B188. PDF
  • V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet, P. Ghendrih, G. Manfredi, Y. Sarazin, O. Sauter, E. Sonnendrücker, J. Vaclavik, L. Villard,
    A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation
    J. Comput. Phys., 217 (2006), 395-423. PDF
  • N. Besse, M. Mehrenberger,
    Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov-Poisson system,
    Math. Comp., 77 (2008), 93-123. PDF
  • N. Besse, D. Kröner,
    Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system,
    ESAIM: M2AN, 39 (2005), 1177-1202. PDF
  • N. Besse, J. Segré, E. Sonnendrücker,
    Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes,
    Trans. Theo. Stat. Phys., 34 (2005), 311-332. PDF
  • N. Besse,
    Convergence of a semi-Lagrangian scheme for the one-dimensional Vlasov-Poisson system,
    SIAM J. Numer. Anal., 42 (2004), 350-382. PDF
  • N. Besse, E. Sonnendrücker,
    Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space,
    J. Comput. Phys., 191 (2003), 341-376. PDF.

Papers published in conference proceedings and chapters of book

  • N. Besse, F. Filbet, M. Gutnic, I. Paun, E. Sonnendrücker,
    An adaptive numerical method for the Vlasov equation based on a multiresolution analysis,
    In Numerical Mathematics and Advanced Applications, Eds F. Brezzi, A. Buffa, S. Escorsaro, A. Murli, Springer, (2003), 437-446. PDF

Habilitation à diriger des recherches

PhD Thesis

Technical Reports

  • N. Besse,
    Etude d'une méthode stochastique pour la résolution de l'opérateur de collision de Fokker-Planck
    Rapport CEA, CEA/DAM/DIF/DCSA/SNEC, N72/DO, 2000.
  • V. Grandgirard, N. Besse, E. Sonnendrücker,
    Amélioration des schémas numériques semi-Lagrangiens associés à la résolution des équations de Vlasov non-linéaires 4D pour l'étude de la turbulence plasma ,
    Rapport CEA, CEA/CADARACHE/DRFC/SIPP/GTHM, PHY/NTT-2003.013, 2003.