====ARTICLES PARUS OU ACCEPTES==== ---- - M. Bostan, F. Poupaud, Periodic solutions of the Vlasov-Poisson system with boundary conditions, Math. Models Methods Appl. Sci., Vol. 10, No. 5, pp.651-672 (2000) {{vlpoi_1+3.pdf}} - M. Bostan, F. Poupaud, Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions, Math. Methods Appl. Sci., Vol. 23, No. 14, pp.1195-1221 (2000) {{vl_max_1d.pdf}} - M. Bostan, Numerical study by a controllability method for the calculation of the time periodic solutions of the Maxwell and Vlasov-Maxwell systems, M2AN Math. Model. Numer. Anal., Vol. 35, No. 1, pp.165-189 (2001) {{m2an976.pdf}} - M. Bostan, Periodic solutions for evolution equations, Electron. J. Differential Equations, Monograph 3, 41pp. (2002) {{main_pereveq.pdf}} - M. Bostan, Permanent regimes for the 1D Vlasov-Poisson system with boundary conditions, SIAM J. Math. Anal., Vol. 35, No. 4, pp.922-948 (2003) {{main_pervlapoi1d.pdf}} - M. Bostan, Existence and uniqueness of the mild solution for the 1D Vlasov-Poisson initial-boundary value problem, SIAM J. Math. Anal., Vol. 37, No. 1, pp.156-188 (2005) {{main_univlapoi1d.pdf}} - M. Bostan, Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system, J. Comm. Math. Sci., Vol. 3, No. 4, pp.621-663 (2005) {{main_pervlamax3d.pdf}} - M. Bostan, Almost periodic solutions for first order differential equations, Differential Integral Equations, Vol. 19, No. 1, pp.91-120 (2006) {{main_almperode.pdf}} - M. Bostan, P. Hild, Starting flow analysis for Bingham fluids, Nonlinear Anal., Vol. 64, No. 5, pp.1119-1139 (2006) {{bingham.pdf}} - M. Bostan, Asymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speed. Convergence toward weak solutions for the classical Vlasov-Poisson equations, J. Differential Equations, Vol. 227, No. 2, pp.444-498 (2006) {{main_vlamaxtovlapoi.pdf}} - M. Bostan, Boundary value problem for the N dimensional time periodic Vlasov-Poisson system, Math. Methods Appl. Sci., Vol. 29, No. 15, pp.1801-1848 (2006) {{main_pervlapoind.pdf}} - M. Bostan, S. Labrunie, On the harmonic Boltzmannian waves in laser-plasma interaction, J. Phys. A Math. Gen. Vol. 39, No. 37, pp.11697-11706 (2006) {{art20juin.pdf}} - M. Bostan, E. Sonnendrücker, Periodic solutions for nonlinear elliptic equations. Applications to charged particles beam focusing systems, M2AN Math. Model. Numer. Anal., Vol. 40, No. 6, pp.1023-1052 (2006) {{main_envelopequ.pdf}} - M. Bostan, G. Namah, Time periodic viscosity solutions of Hamilton-Jacobi equations, Commun. Pure Appl. Anal., Vol. 6, No. 2, pp.389-410 (2007) {{main_perhamjac.pdf}} - M. Bostan, Mild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interaction, Quart. Appl. Math., Vol. 65, No. 1, pp.163-187 (2007) {{main_laserplasma1.pdf}} - M. Bostan, Mild solutions for the one dimensional Nordström-Vlasov system, Nonlinearity, Vol. 20, No.5, pp.1257-1281 (2007) {{main_vlanor1d.pdf}} - M. Bostan, Stationary solutions of the 1D Vlasov-Maxwell equations for laser-plasma interaction, Indiana Univ. Math. J., Vol. 56, No. 2, pp.581-613 (2007) {{main_laserplasma2.pdf}} - M. Bostan, Weak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric field, Chinese Ann. Math., Vol. 28, No. 4, pp.389-420 (2007) {{main_boundedelectric.pdf}} - M. Bostan, The Vlasov-Maxwell system with strong initial magnetic field. Guiding-center approximation, SIAM J. Multiscale Model. Simul., Vol. 6, No. 3, pp.1026-1058 (2007) {{main_gyrokinetic1.pdf}} - M. Bostan, T. Goudon, Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system; the one and one-half dimensional case, Kinetic Related Models, Vol. 1, No. 1, pp.139-169 (2008) {{main_parabvmfp1d.pdf}} - M. Bostan, Homogenization of the 1D Vlasov-Maxwell equations, IMA J. Appl. Math., Vol. 73, No. 3, pp.539-555 (2008) {{main_homvlamax1d.pdf}} - M. Bostan, T. Goudon, Electric high-field limit for the Vlasov-Maxwell-Fokker-Planck system, Ann. Inst. H. Poincaré Anal. Non Linéaire, Vol. 25, No. 6, pp.1221-1251 (2008) {{main_highfieldvm.pdf}} - M. Bostan, Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system, Nonlinear Anal., Vol. 69, No. 12, pp.4365-4379 (2008) {{main_finitespeed.pdf}} - M. Bostan, P. Hild, Weak formulations and solution multiplicity of equilibrium configurations with Coulomb frictions, Math. Model. Nat. Phenom., Vol. 4, No.1, pp.147-162, Modelling and numerical methods in contact mechanics (2009) {{bostan_hild.pdf}} - M. Bostan, E. Canon, P. Hild, On asymptotic properties for some parameter-dependent variational inequalities, Nonlinear Anal., Vol. 70, No. 4, pp.1663-1678 (2009) {{main_torsion.pdf}} - M. Bostan, The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime, Asymptot. Anal., Vol. 61, No. 2, pp.91-123 (2009) {{main_gyrokinetic2.pdf}} - M. Bostan, N. Crouseilles, Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction, Numer. Math., Vol. 112, pp.169-195 (2009) {{main_convsemila.pdf}} - M. Bostan, J. A. Carrillo, Global solutions for the one dimensional Water-Bag model, Commun. Math. Sci., Vol. 7, No. 1, pp.129-141 (2009) {{main_waterbag.pdf}} - M. Bostan, Analysis of a particle method for the one dimensional Vlasov-Maxwell system, Numer. Methods Partial Differential Equations, Vol. 25, No. 4, pp.757-782 (2009) {{main_partmethvp.pdf}} - M. Bostan, Stationary solutions for the one dimensional Nordström-Vlasov system, Asymptot. Anal., Vol. 64, No. 3-4, pp.155-183 (2009) {{main_stavlanor1d.pdf}} - M. Bostan, Permanent regimes for the Vlasov-Maxwell equations with specular boundary conditions, Phys. A Vol. 42, No. 35, 20 pp. (2009) {{main_specular.pdf}} - M. Bostan, Boundary value problem for the stationary Nordström-Vlasov system, J. Korean Math. Soc. Vol. 47, No. 4, pp.743-766 (2010) {{main_stavlanor3d.pdf}} - M. Bostan, Collisional models for strongly magnetized plasmas. The gyrokinetic Fokker-Planck equation, Libertas Math., Vol. 30, pp.99-117 (2010) {{main_fokplagyr.pdf}} - M. Bostan, V. Lleras, Some remarks on time-dependent variational problems and their asymptotic behaviour, Nonlinear Anal., Vol. 73, No. 6, pp.1820-1833 (2010) {{main_quasistatic.pdf}} - M. Bostan, Transport equations with disparate advection fields. Application to the gyrokinetic models in plasma physics, J. Differential Equations, Vol. 249. pp.1620-1663 (2010) {{main_singtranequ.pdf}} - M. Bostan, I. M. Gamba, T. Goudon, The linear Boltzmann equation with space periodic electric field, Amer. Math. Soc. Transl. Ser. 2, Vol. 229, No. 64, pp.51-66 (2010) {{main_linperbol.pdf}} - M. Bostan, Gyro-kinetic Vlasov equation in three dimensional setting. Second order approximation, SIAM J. Multiscale Model. Simul., Vol. 8, No. 5, pp.~1923-1957 (2010) {{main_centreguide3d.pdf}} - M. Bostan, I. M. Gamba, T. Goudon, A. Vasseur, Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation, Indiana Univ. Math. J., Vol. 59, No. 5, pp.1629-1660 (2010) {{main_bolvlapoi.pdf}} - M. Bostan, C. Negulescu, Mathematical models for strongly magnetized plasmas with mass disparate particles, Discrete and Continuous Dynamical Systems, Series B, Vol. 15. No. 3, pp.513-544 (2011) {{main_dispmass.pdf}} - M. Bostan, I.M. Gamba, Impact of strong magnetic fields on collision mechanism for transport of charged particles, J. Stat. Phys., Vol. 148, No. 5, pp.856-895 (2012) {{:blog:arxiv1205.2327.pdf|}} - M. Bostan, Transport of charged particles under fast oscillating magnetic fields, SIAM J. Math. Anal., Vol. 44, no. 3, pp.1415-1447 (2012) {{main_highfreqmagn.pdf}} - M. Bostan, J.-A. Carrillo, Asymptotic fixed-speed reduced dynamics for kinetic equations in swarming, Math. Models Methods Appl. Sci., Vol. 23, No. 13, pp.2353-2393 (2013) {{:blog:main_swarm.pdf|}} - M. Bostan, Strongly anisotropic diffusion problems; asymptotic analysis, J. Differential equations, Vol. 256, pp.1043-1092 (2014) {{:blog:yjdeq7334.pdf|}} - M. Bostan, C. Caldini-Queiros, Finite Larmor radius approximation for collisional magnetic confinement. Part I: the linear Boltzmann equation}, Quart. Appl. Math., Vol. LXXII, No. 2, pp.323-345 (2014) {{:blog:main_fokplalangyr_1.pdf|}} - M. Bostan, C. Caldini-Queiros, Finite Larmor radius approximation for collisional magnetic confinement. Part II: the Fokker-Planck-Landau equation, Quart. Appl. Math., Vol. LXXII, No. 3, pp.513-548 (2014) {{:blog:main_fokplalangyr_2.pdf|}} - M. Bostan, On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields, Discrete Contin. Dyn. Syst. Ser. B, Vol. 20. No. 2, pp.339-371 (2015) {{:blog:main_colbea.pdf|}} - M. Bostan, Multi-scale analysis for linear first order PDEs. The finite Larmor radius regime, SIAM J. Math. Anal., Vol. 48, No. 3, pp.2133-2188 (2016) {{:blog:main_TwoScale.pdf|}} - M. Bostan, High magnetic field equilibria for the Fokker-Planck-Landau equation, Ann. Inst. H. Poincaré Anal. Non Linéaire (2016), Vol. 33 No. 4, pp.899-931 (2016) {{:blog:main_gyrflumod.pdf|}} - M. Bostan, A. Finot, The effective Vlasov-Poisson system for the finite Larmor radius regime, SIAM J. Multiscale Model. Simul., Vol. 14, No. 4, pp.1238-1275 (2016) {{:blog:main_EffVlaPoi.pdf|}} - T. Blanc, M. Bostan, F. Boyer, Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach, Discrete Contin. Dyn. Syst. Ser. A., Vol. 37, No. 9, pp.4637-4676 (2017) {{:blog:main_SingParStif.pdf|}} - M. Bostan, J.-A. Carrillo, Reduced fluid models for self-propelled populations, interacting through alignment, Math. Models Methods Appl. Sci., Vol. 27, No. 7, pp.1255-1299 (2017) {{:blog:main_SwarmFluid.pdf|}} - M. Bostan, A. Finot, The finite Larmor radius regime : collisional setting and fluid models, accepté dans Commun. Contemp. Math. preprint https://hal.archives-ouvertes.fr/hal-01706310 (2018) {{:blog:main_ColFinLarRad.pdf|}} - M. Bostan, Asymptotic behavior for the Vlasov-Poisson equations with strong external magnetic field. Straight magnetic field lines, SIAM J. Math. Anal., Vol. 51, No. 3, pp.2713-2747 (2019) {{:blog:main_VlaPoiGyr2D.pdf|}} - P. Aceves-Sánchez, M. Bostan, J.A. Carrillo, P. Degond, Hydrodynamic limits for kinetic flocking models of Cucker-Smale type, Math. Biosci. Eng., Vol. 16, No. 6, pp.7883-7910 (2019) {{:blog:main_SwarmO.pdf|}} - T. Blanc, M. Bostan, Multi-scale analysis for highly anisotropic parabolic problems, accepté dans Discrete Contin. Dyn. Syst. Ser. B, Vol. 25, No. 1, pp.335-399 (2019) {{:blog:main_SingPara.pdf|}} ---- \\ \\ \\ ====COMPTES RENDUS ACADEMIE SCIENCE PARIS==== ---- - M. Bostan, F. Poupaud, Solutions périodiques du système de Vlasov-Poisson avec conditions aux limites, C. R. Acad. Sci. Paris, Sér. I Math. 325, pp.1333-1336 (1997) {{:blog:note.pdf|}} - M. Bostan, Solutions périodiques des équations d'évolution, C. R. Acad. Sci. Paris, Sér. I Math. 332, pp.401-404 (2001) {{:blog:cri00459.pdf|}} - M. Bostan, Solutions périodiques en temps des équations de Vlasov-Maxwell, C. R. Acad. Sci. Paris, Sér. I Math. 339, pp.451-456 (2004) {{:blog:main_note_pervlamax3d.pdf|}} - M. Bostan, Convergence des solutions faibles du système de Vlasov-Maxwell stationnaire vers des solutions faibles du système de Vlasov-Poisson stationnaire quand la vitesse de la lumière tend vers l'infini, C. R. Acad. Sci. Paris, Sér. I Math. 340, pp.803-808 (2005 {{:blog:main_note_vlamaxtovlapoi.pdf|}} - M. Bostan, G. Namah, Remarks on bounded solutions of steady Hamilton-Jacobi equations, C. R. Acad. Sci. Paris, Sér. I Math. 347, No. 15-16, pp.873-878 (2009) {{:blog:main_steadyhamjac.pdf|}} - M. Bostan, C. Caldini-Queiros, Finite Larmor radius approximation for collisional magnetized plasmas, C. R. Acad. Sci. Paris, Sér. I Math. 350, pp.879-884 (2012) {{:blog:main_gyrbollin.pdf|}} - M. Bostan, A. Finot, M. Hauray, The effective Vlasov-Poisson system for strongly magnetized plasmas, C. R. Acad. Sci. Paris, Sér. I Math. Vol. 354, No. 8, pp.771-777 (2016). {{:blog:revision_finlarvlapoi.pdf|}} ---- \\ \\ \\ ====PROCEEDINGS==== ---- - M. Bostan, G. Namah, Time periodic viscosity solutions of Hamilton-Jacobi equations, Applied Analysis and Differential Equations, World Sci. Publ., Hackensack, NY, pp.21-30 (2007) - M. Bostan, Asymptotic regimes for plasma physics with strong magnetic fields, French-Chinese Institute on Applied Mathematics, Series in Contemporary Applied Mathematics, 15 Higher Education Press Beijing, World Sci. Publ. Singapore, pp.56-85 (2010) - M. Bostan, Gyro-kinetic models for strongly magnetized plasmas with general magnetic shape, Discrete and Continuous Dynamical Systems, Series S., Vol. 5, No. 2, pp.257-269 (2012) ---- \\ \\ \\ ====ARTICLES SOUMIS==== ---- - M. Bostan, Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part I : well prepared initial conditions, preprint https://hal.archives-ouvertes.fr/hal-02088870 (2019) - M. Bostan, Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part II : general initial conditions, preprint https://hal.archives-ouvertes.fr/hal-02047472 (2019) - M. Bostan, Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions, preprint https://hal.archives-ouvertes.fr/hal-02310174 (2019) - M. Bostan, Multi-scale analysis for wave problems with disparate propagation speeds, preprint (2019) ---- \\ \\ \\ ====ARTICLES EN PREPARATION==== ---- - M. Bostan, J.A. Carrillo, Fluid models with phase transition for kinetic equations in swarming - M. Bostan, S. Lanteri, Asymptotic analysis of the two dimensional Maxwell equations in strongly anisotropic media