Publications in referred journals
M. Lemou, P.-H. Chavanis: Escape of stars from gravitational clusters in the Chandrasekhar model. To appear in Physica A, 2009.
M. Bennoune, M. Lemou, L. Mieussens: An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit. To appear in Continuum Mech. Thermodyn. 2009.
M. Lemou, F. Méhats and P. Raphaël, Stable Ground States for the Relativistic Gravitational Vlasov–Poisson System Communications in Partial Differential Equations, 1532-4133, Volume 34, Issue 7, 2009, Pages 703–721
M. Lemou, F. Méhats and P. Raphaël, A new variational approach to the stability of gravitational systems, C. R. Math. Acad. Sci. Paris 347 (2009), no. 15--16, 979--984.
M. Bennoune, M. Lemou and L. Mieussens, Uniformly stable numericalschemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. J. Comput. Phys. 227 (2008), no. 8, 3781-3803.
M. Lemou and L. Mieussens, A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit. SIAM J. Sci. Comput. 31 (2008), no. 1, 334-368.
M. Lemou, F. Méhats and P. Raphaël, Structure of the linearized gravitational Vlasov-Poisson system close to a polytropic ground state. SIAM J. Math. Anal. 39 (2008), no. 6, 1711-1739.
M. Lemou, F. Méhats and P. Raphaël, Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system. J. Amer. Math. Soc. 21 (2008), no. 4, 1019-1063.
M. Lemou, F. Méhats and P. Raphaël, The orbital stability of the ground states and the singularity formation for the gravitational Vlasov Poisson system. Arch. Ration. Mech. Anal. 189 (2008), no. 3, 425-468.
P.-H. Chavanis and M. Lemou, Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations. Eur. Phys. J. B 59 (2007), no. 2, 217-247.
M. Lemou, L. Mieussens, Time implicit schemes and fast approximations of the Fokker-Planck-Landau equation, Actes du 6th MAFPD (Kyoto, 2004), Bulletin of the Institute of Mathematics, Academia Sinica (New Series), Volume 2, N. 2, pp. 533-567, 2007.
M. Lemou, F. Méhats and P. Raphaël, Uniqueness of the critical mass blow up solution for the four dimensional gravitational Vlasov-Poisson system. Ann. Inst. H. Poincaré Anal. Non Linéaire, 24 (2007), no. 5, 825-833.
V. Bagland, P. Degond and M. Lemou, Moment systems Derived from Relastivistic Kinetic Equations. Journal of Statistical Physics, Vol. 125, No. 3, 2006. pp. 617-655.
P.-H. Chavanis and M. Lemou, Relaxation of the distribution function tails for systems described by Fokker-Planck equations. Physical Review E. 72, 1 (2005).
M. Lemou, F. Méhats and P. Raphaël, Orbital stability and singularity formation for Vlasov-Poisson systems. C. R. Acad. Sci. Paris. Ser. I 341 (2005) 269-274.
M. Lemou and L. Mieussens, Implicit schemes for the Fokker-Planck-Landau equation. SIAM J. Sci. Comput., Vol. 27, No. 3, pp. 809-830, (2005).
N. Crouseilles, P. Degond and M. Lemou, A hybrid kinetic-fluid model for solving the Vlasov-BGK equation. J. Comput. Phys. 203 (2005), no. 2, 572-601.
O. Bokanowski and M. Lemou, Fast multipole method for multivariable integrals. SIAM J. Numer. Anal. 42 (2005), no. 5, 2098-2117 (electronic).
M. Lemou and L. Mieussens, Fast implicit schemes for the Fokker-Planck- Landau equation. C. R. Math. Acad. Sci. Paris, 338 (2004), no. 10, 809{814.
P.-H. Chavanis, Ph. Laurençot and M. Lemou, Chapman-Enskog derivation of the generalized Smoluchowski equation. Phys. A 341 (2004), no. 1-4, 145-164.
M. Lemou, On multipole approximations of the Fokker-Planck-Landau operator. Modelling and computational methods for kinetic equations, edited by P. Degond, L. Pareschi, G. Russo, Birkhauser Boston edition, pp. 195-218. (2004).
P. Degond and M. Lemou, J. L. Lopez,Fluids with multivalued internal energy: the anisotropic case. Transport in transition regimes (Minneapolis, MN, 2000), 121-136, IMA Vol. Math. Appl., 135, Springer, New York, 2004.
N. Crouseilles, P. Degond and M. Lemou, A hybrid kinetic/fuid model for solving the gas dynamics Boltzmann-BGK equation. J. Comput. Phys. 199 (2004), no. 2, 776-808.
V. Bagland and M. Lemou, Equilibrium states for the Landau-Fermi-Dirac equation. Nonlocal elliptic and parabolic problems, 29-37, Banach Center Publ., 66, Polish Acad. Sci., Warsaw, 2004.
P. Degond, M. Lemou and M. Picasso, Constitutive relations for viscoelastic fuid models derived from kinetic theory. The IMA Volumes in Mathematics ans its Applications, Volume 136, Springer. (2004) pp. 77-89.
N. Crouseilles, P. Degond, and M. Lemou, Hybrid kinetic/fluid models for nonequilibrium systems. C. R. Acad. Sci. Paris, Ser. I 336 (2003) 359-364
P. Degond, M. Lemou and J. L. Lopez, A kinetic description of anisotropic fuids with multivalued internal energy. multivalued internal energy: The anisotropic case. Eur. J. Mech. B-Fluids, 22 (2003) 487-509.
X. Antoine and M. Lemou, Wavelet approximations of a collision operator in kinetic theory. C. R. Acad. Sci. Paris. Ser. I 337 (2003) 353-358.
P. Degond and M. Lemou, Turbulence models for incompressible fuids derived from kinetic theory. J. Math. Fluid Mech., 4 (2002), pp. 257-284.
P. Degond, M. Lemou and M. Picasso, Viscoelastic fuid models derived from kinetic equations for polymers. SIAM J. Appl. Math. Vol. 62. No. 5, pp. 1501-1519, (2002).
P. Degond and M. Lemou, On the viscosity and thermal conduction of fuids with multivalued internal energy. Eur. J. Mech. B-Fluids, 20, (2001), pp. 303-327.
P. Degond and M. Lemou, Towards a kinetic modeling of turbulent incompressible fows. International Series of Numerical Mathematics. Vol 140. pp. 297-306. (2001).
M. Lemou, Linearized quantum and relativistic Fokker-Planck-Landau equations. Math. Meth. Appl. Sci. 23, pp. 1093-1119, (2000).
M. Lemou, Numerical algorithms for axisymmetric Fokker-Planck-Landau operators. J. comput. Phys, 157, pp. 762-786, (2000).
O. Bokanowski and M. Lemou, Fast Multipole Method for multidimensional integrals. C. R. Acad. Sci. Paris, t. 326, Série I, pp. 105-110, (1998).
M. Lemou, Multipole expansions for the Fokker-Planck-Landau operator. Num. Math., 78, pp. 597-618, (1998).
M. Lemou, Opérateur de Fokker-Planck-Landau axisymètrique. C. R. Acad. Sci. Paris, t. 326, Série I, pp. 179-184, (1998).
C. Buet, S. Cordier, P. Degond and M. Lemou, Fast algorithms for numerical, conservative and entropy schemes of the Fokker-Planck-Landau equation. J. comput. Phys, 133, pp. 310-322, (1997).
P. Degond and M. Lemou, Dispersion relations of the linearized Fokker-Planck equation. Arch. Rational Mech. Anal., 138, pp. 137-167, (1997).
P. Degond and M. Lemou, Dispersion relations of the linearized Fokker-Planck equation. C. R. Acad. Sci. Paris, t.321, Serie 1, pp. 413-417, (1995).
M. Lemou, Solutions exactes de l'équation de Fokker-Planck, C. R. Acad. Sci. Paris, t. 319, Série 1, pp. 579-583, 1994.