Papers submitted to refered international journals, preprints
F. Moller, N. Besse, I. Mazets, H.-P. Stimming, N. Mauser, The dissipative generalized hydrodynamic equations and their numerical solution, submitted.
N.Besse, Analysis of the spectral relaxation method and the spectral purging method for nonlinear conservation laws, submitted
Papers published or accepted in refered international journals
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, to appear in Applied and Numerical Harmonic Analysis 2022. 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
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.
