M. Bostan and F. Poupaud, Solutions périodiques du système de Vlasov-Poisson avec conditions aux limites, C. R. Acad. Sci. Paris, Sér. I Math, vol.325, pp.1333-1336, 1997.

M. Bostan and F. Poupaud, Periodic solutions of the Vlasov-Poisson system with boundary conditions, Math. Models Methods Appl. Sci, vol.10, issue.5, pp.651-672, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00073166

M. Bostan and F. Poupaud, Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions, Math. Methods Appl. Sci, vol.23, issue.14, pp.1195-1221, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00073129

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, issue.1, pp.165-189, 2001.

M. Bostan, Solutions périodiques deséquations d'évolution, vol.332, pp.401-404, 2001.

M. Bostan, Periodic solutions for evolution equations, Electron. J. Differential Equations, vol.3, p.41, 2002.

M. Bostan, Permanent regimes for the 1D Vlasov-Poisson system with boundary conditions, SIAM J. Math. Anal, vol.35, issue.4, pp.922-948, 2003.

M. Bostan, Solutions périodiques en temps deséquations de Vlasov-Maxwell, C. R. Acad. Sci. Paris, Sér. I Math, vol.339, pp.451-456, 2004.

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, vol.340, pp.803-808, 2005.

M. Bostan, Existence and uniqueness of the mild solution for the 1D Vlasov-Poisson initialboundary value problem, SIAM J. Math. Anal, vol.37, issue.1, pp.156-188, 2005.

M. Bostan, Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system, J. Comm. Math. Sci, vol.3, issue.4, pp.621-663, 2005.

M. Bostan, Almost periodic solutions for first order differential equations, Differential Integral Equations, vol.19, issue.1, pp.91-120, 2006.

M. Bostan and P. Hild, Starting flow analysis for Bingham fluids, Nonlinear Anal, vol.64, issue.5, pp.1119-1139, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00466481

M. Bostan, Asymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speed, J. Differential Equations, vol.227, issue.2, pp.444-498, 2006.

M. Bostan, Boundary value problem for the N -dimensional time periodic Vlasov-Poisson system, Math. Methods Appl. Sci, vol.29, pp.1801-1848, 2006.

M. Bostan, Stationary solutions of the 1D Vlasov-Maxwell equations for laser-plasma interaction, acceptéà Indiana Univ, Math. J

M. Bostan and S. Labrunie, On the harmonic Boltzmannian waves in laser-plasma interaction, J. Phys. A : Math. Gen, vol.39, pp.11697-11706, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00094341

M. Bostan and G. Namah, Time periodic viscosity solutions of Hamilton-Jacobi equations, Commun. Pure Appl. Anal
URL : https://hal.archives-ouvertes.fr/hal-00475238

M. Bostan, Weak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric field, acceptéà Chinese Ann, Math

M. Bostan, Mild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interaction, acceptéà Quart, Appl. Math

M. Bostan and E. Sonnendrücker, Periodic solutions for nonlinear elliptic equations. Applications to charged particles beam focusing systems, acceptéà M2AN Math. Model. Numer. Anal. ARTICLES SOUMIS

M. Bostan and T. Goudon, Electric high-field limit for the Vlasov-Maxwell-Fokker-Planck system, soumis aux Ann. Inst. H. Poincaré Anal. Non Linéaire, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00594959

M. Bostan, Mild solutions for the one dimensional Nordström-Vlasov system, soumisà Nonlinearity, 2006.

M. Bostan, Stationary solutions for the one dimensional Nordström-Vlasov system, soumis a Asymptotic Anal, 2006.

M. Bostan, Boundary value problem for the stationary Nordström-Vlasov system, soumis a Adv. Differential Equations, 2006.

M. Bostan, Analysis of a particle method for the one dimensional Vlasov-Maxwell system, soumisà Numer. Methods PDE, 2006.

M. Bostan and T. Goudon, Low field regime for the relativistic Vlasov-Maxwell-FokkerPlanck system ; the one and one-half dimensional case, soumisà Arch, Ration. Mech. Anal, 2006.

. Articles and . Préparation,

M. Bostan, I. M. Gamba, T. Goudon, and A. Vasseur, Stationary solutions for the Boltzmann-Vlasov-Poisson equations

. Bibliographie,

L. Amerio, Soluzioni quasi-periodiche, o limitate di sistemi differenziali non lineari quasi-periodici, o limitati, Ann. Mat. Pura Appl, vol.39, pp.97-119, 1955.

H. Andréasson, The Einstein-Vlasov system/Kinetic theory, Living Rev. Relativ, vol.5, p.33, 2002.

A. Arnold, P. Markowich, G. Toscani, and A. Unterreiter, On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations, Comm. Partial Differential Equations, vol.26, pp.43-100, 2001.

D. Bakry and M. Emery, Hypercontractivité de semi-groupes de diffusion, C. R. Acad. Sci. Paris Sér. I Math, vol.299, pp.775-778, 1984.

A. Arnold, J. A. Carrillo, I. Gamba, and C. Shu, Low and high field scaling limits for the Vlasov-and Wigner-PoissonFokker-Planck system, Transport Theory Statist. Phys, vol.30, pp.121-153, 2001.

A. Arseneev, Global existence of a weak solution of the Vlasov system of equations, Comp. Math. Phys, vol.15, pp.131-143, 1975.

C. Bardos, F. Golse, B. Perthame, and R. Sentis, The non accretive radiative transfert equation, existence of solutions and Rosseland approximation, J. Funct. Anal, vol.88, pp.434-460, 1988.

C. Bardos, R. Santos, and R. Sentis, Diffusion approximation and computation of critical size of a transport operator, Trans. Amer. Math. Soc, vol.284, pp.617-649, 1984.

G. Barles and P. E. Souganidis, Some counterexamples on the asymptotic behavior of the solutions of the Hamilton-Jacobi equations, C. R. Acad. Sci. Paris, Sér. I Math, vol.330, pp.963-968, 2000.

G. Barles and P. E. Souganidis, On the large time behavior of solutions of Hamilton-Jacobi equations, SIAM J. Math. Anal, vol.31, pp.925-939, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00623000

N. Ben, Abdallah Weak solutions of the initial-boundary value problem for the Vlasov-Poisson system, Math. Methods Appl. Sci, vol.17, pp.451-476, 1994.

N. Ben-abdallah, P. Degond, P. Markowich, and C. Schmeiser, High field approximation of the spherical harmonics expansion model for semiconductors, Z. Angew. Math. Phys, vol.52, pp.201-230, 2001.

F. Berthelin and A. Vasseur, From kinetic equations to multidimensional isentropic gas dynamics before shocks, SIAM J. Math. Anal, vol.36, pp.1807-1835, 2005.

M. Bézard, Boundary value problems for the Vlasov-Maxwell system, Sémin. EDPÉcole Polytech Palaiseau, p.19, 1993.

C. K. Birdsall and A. B. Langdon, Plasma physics via computers simulation, 1985.

F. Bouchut, Existence and uniqueness of a global smooth solution for the Vlasov-Poisson-Fokker-Planck system in three dimensions, J. Funct. Anal, vol.111, pp.239-258, 1993.

F. Bouchut, Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system, J. Differential Equations, vol.122, pp.225-238, 1995.

F. Bouchut, F. Golse, and C. Pallard, Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system, Arch. Ration. Mech. Anal, vol.170, pp.1-15, 2003.

Y. Brenier, Convergence of the Vlasov-Poisson system to the incompressible Euler equations, vol.25, pp.737-754, 2000.

Y. Brenier, N. Mauser, and M. Puel, Incompressible Euler and e-MHD as scaling limits of the Vlasov-Maxwell system, Commun. Math. Sci, vol.1, pp.437-447, 2003.

M. J. Cáceres, J. A. Carrillo, and J. , Dolbeault Nonlinear stability in L p for a confined system of charged particles, SIAM J. Math. Anal, vol.34, pp.478-494, 2002.

S. Calogero and G. Rein, On classical solutions of the Nordström-Vlasov system, Comm. Partial Differential Equations, vol.28, pp.1863-1885, 2003.

S. Calogero and G. , Rein, Global weak solutions to the Nordström-Vlasov system, J. Differential Equations, vol.204, pp.323-338, 2004.

J. A. Carrillo and S. Labrunie, Global solutions for the one-dimensional Vlasov-Maxwell system for laser-plasma interaction, Math. Models Methods Appl. Sci, vol.16, pp.19-57, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00094327

J. A. Carrillo and J. Soler, On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in L p spaces, Math. Methods Appl. Sci, vol.18, pp.825-839, 1995.

S. Chandrasekhar, Stochastic problems in physics and astronomy, Rev. Modern Phys, vol.15, pp.1-89, 1943.

P. Chavanis, J. Sommeria, and R. Robert, Statistical mechanics of two-dimensional vortices and collisionless stellar systems, Astrophys. J, vol.471, pp.385-399, 1996.

J. Cooper and A. Klimas, Boundary value problem for the Vlasov-Maxwell equation in one dimension, J. Math. Anal. Appl, vol.75, pp.306-329, 1980.

C. Corduneanu, Almost periodic functions, 1989.

G. Cottet and P. Raviart, Particle methods for the one-dimensional Vlasov-Poisson equations, SIAM J. Numer. Anal, vol.21, pp.52-76, 1984.

G. Cottet and P. Raviart, On particle-in-cell methods for the Vlasov-Poisson equations, Transport Theory Statist. Phys, vol.15, pp.1-31, 1986.

M. G. Crandall and P. Lions, Condition d'unicité pour les solutions généralisées deséquations de Hamilton-Jacobi du premier ordre, C. R. Acad. Sci. Paris, Sér. I Math, vol.292, pp.183-186, 1981.

M. G. Crandall and P. Lions, Viscosity solutions of Hamilton-Jacobi equations, vol.277, pp.1-42, 1983.

M. G. Crandall, L. C. Evans, and P. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc, vol.282, pp.487-502, 1984.

I. Csiszar, Information-type measures of difference of probability distributions and indirect observations, Studia Sci. Math. Hungar, vol.2, pp.299-318, 1967.

R. C. Davidson and H. Qin, Physics of charged particle beams in high energy accelerators, 2001.

P. Degond, Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions, Ann. Sci.École Norm. Sup. IV, vol.19, pp.519-542, 1986.

P. Degond, Local existence of solutions of the Vlasov-Maxwell equations and convergence to the Vlasov-Poisson equations for infinite light velocity, Math. Methods Appl. Sci, vol.8, pp.533-558, 1986.

P. Degond and A. , High field approximation of the energy-transport model for semiconductors with non-parabolic band structure, Z. Angew. Math. Phys, vol.52, pp.1053-1070, 2001.

P. Degond and P. Raviart, An asymptotic analysis of the one-dimensional Vlasov-Poisson system : the ChildLangmuir law, Asymptotic Anal, vol.4, pp.187-214, 1991.

P. Degond and P. Raviart, On the paraxial approximation of the stationary Vlasov-Maxwell system, Math. Models Meth. Appl. Sci, vol.3, pp.513-562, 1993.

B. P. Demidovitch, Almost periodic solutions of first order differential equations, Russian Math. Surveys VIII, vol.6, pp.103-106, 1953.

R. J. Diperna and P. Lions, Global weak solutions of the Vlasov-Maxwell system, Comm. Pure Appl. Math. XVII, pp.729-757, 1989.

J. Dolbeault, Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states), J. Math. Pures Appl, vol.78, pp.121-157, 1999.

G. Duvaut and J. Lions, Les inéquations en mécanique et en physique, Dunod, 1972.

A. Fathi, Sur la convergence du semi-groupe de Lax-Oleinik, C. R. Acad. Sci. Paris, Sér. I Math, vol.327, pp.267-270, 1998.

J. Favard, Sur leséquations différentielles linéairesà coefficients presque-périodiques, Acta Mathematica, vol.51, pp.31-81, 1928.

F. Filbet and E. Sonnendrücker, Modeling and numerical simulation of space charge dominated beams in the paraxial approximation, Research report INRIA, issue.5547, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00070460

K. Ganguly and H. D. Victory, On the convergence of particle methods for multi dimensional Vlasov-Poisson system, SIAM J. Numer. Anal, vol.26, pp.249-288, 1989.

N. Gheorghiu, Solu?ii aproape periodice?i asimptotic aproape periodice ale unor ecua?ii diferen?iale neliniare de ordinul I, An. ?t. Univ. Ia?i, Sect. I, pp.17-20, 1955.

R. Glassey and J. Schaeffer, On the one and one-half dimensional relativistic Vlasov-Maxwell system, Math. Methods Appl. Sci, vol.13, pp.169-179, 1990.

R. Glassey and J. Schaeffer, Convergence of a particle method for the relativistic Vlasov-Maxwell system, SIAM J. Numer. Anal, vol.28, pp.1-25, 1991.

R. Glassey and J. Schaeffer, The two and one-half dimensional relativistic Vlasov-Maxwell system, Comm. Math. Phy, vol.185, pp.257-284, 1997.

R. Glassey and J. Schaeffer, The relativistic Vlasov-Maxwell system in two space dimensions, Part I and II, Arch. Ration. Mech. Anal, vol.141, pp.331-354, 1998.

R. Glassey and W. Strauss, Singularity formation in a collisionless plasma could only occur at high velocities, Arch. Ration. Mech. Anal, vol.92, pp.56-90, 1986.

R. Glowinski, Lectures on numerical methods for nonlinear variational problems. Notes by M. G. Vijayasundaram and M. Adimurthi. Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol.65, 1980.

R. Glowinski, J. Lions, and R. Trémolières, Numerical analysis of variational inequalities, Studies in Mathematics and its Applications, vol.8, 1981.

F. Golse and F. Poupaud, Limite fluide deséquations de Boltzmann des semi-conducteurs pour une statistique de Fermi-Dirac, Asymptotic Anal, vol.6, pp.135-160, 1992.

F. Golse and L. Saint-raymond, The Vlasov-Poisson system with strong magnetic field in quasineutral regime, Math. Models Methods Appl. Sci, vol.13, pp.661-714, 2003.

T. Goudon, Hydrodynamic limit for the Vlasov-Poisson-Fokker-Planck system : analysis of the two-dimensional case, Math. Models Methods Appl. Sci, vol.15, pp.737-752, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00018817

T. Goudon, J. Nieto, F. Poupaud, and J. Soler, Multidimensional high-field limit of the electrostatic Vlasov-PoissonFokker-Planck system, J. Differential Equations, vol.213, pp.418-442, 2005.

T. Goudon, P. Jabin, and A. Vasseur, Hydrodynamic limits for the Vlasov-Navier-Stokes equations. Part II: Fine particles regime, Indiana Univ. Math. J, vol.53, pp.1517-1536, 2004.

C. Greengard and P. , Raviart A boundary value problem for the stationary Vlasov-Poisson equations : the plane diode, Comm. Pure Appl. Math. XLIII, pp.473-507, 1990.

Y. Guo, Global weak solutions of the Vlasov-Maxwell system with boundary conditions, Comm. Math. Phys, vol.154, pp.245-263, 1993.

F. Huot, A. Ghizzo, P. Bertrand, E. Sonnendrücker, and O. Coulaud, Instability of the time-splitting scheme for the one-dimensional and relativistic Vlasov-Maxwell system, J. Comput. Phys, vol.185, pp.512-531, 2003.
URL : https://hal.archives-ouvertes.fr/hal-01791854

P. Jabin, The Vlasov-Poisson system with infinite mass and energy, J. Statist. Phys, vol.103, pp.1107-1123, 2001.

E. Keller and L. Segel, Initiation of slime mold aggregation viewed as an instability, J. Theoret. Biol, vol.26, pp.399-415, 1970.

S. Klainerman and G. Staffilani, A new approach to study the Vlasov-Maxwell system, Comm. Pure Appl. Anal, vol.1, pp.103-125, 2002.

V. Komornik, Exact controllability and stabilization. The multiplier method, Ltd, 1994.

S. Kullback, A lower bound for discrimination information in terms of variation, IEEE Trans. Information Theory, vol.4, pp.126-127, 1967.

H. Lee, The classical limit of the relativistic Vlasov-Maxwell system in two space dimensions, Math. Methods Appl. Sci, vol.27, pp.249-287, 2004.

P. Lions, Generalized solutions of Hamilton-Jacobi Equations, Research Notes in Mathematics, 1982.

P. Lions and B. Perthame, Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Invent. Math, vol.105, pp.415-430, 1991.

J. Lions and G. Stampacchia, Variational inequalities, Comm. Pure. Appl. Math. XX, pp.493-519, 1967.

G. Namah and J. Roquejoffre, Remarks on the long time behaviour of the solutions of Hamilton-Jacobi equations, vol.24, pp.883-893, 1999.

J. Nieto, F. Poupaud, and J. Soler, High-field limit of the Vlasov-Poisson-Fokker-Planck system, Arch. Ration. Mech. Anal, vol.158, pp.29-59, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00018818

G. Nordström, Zur Theorie der Gravitation vom Standpunkt des Relativitätsprinzips, Ann. Phys. Lpz, vol.42, p.533, 1913.

Z. , Sur les solutions presque-périodiques deséquations différentielles du premier et second ordre, Ann. Polon. Math, vol.7, pp.51-61, 1959.

K. Pfaffelmoser, Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data, J. Differential Equations, vol.95, pp.281-303, 1992.

F. Poupaud, Boundary value problems for the stationary Vlasov-Maxwell system, Forum Math, vol.4, pp.499-527, 1992.

F. Poupaud, Mathematical Theory of Kinetic Equations for Transport Modelling in Semiconductors, Series on Advances in Mathematics for Applied Sciences, Kinetic Theory and Computing, vol.22, pp.141-168, 1994.

F. Poupaud and J. Soler, Parabolic limit and stability of the Vlasov-Poisson-Fokker-Planck system, Math. Models Methods Appl. Sci, vol.10, pp.1027-1045, 2000.

B. O'dwyer and H. D. Victory, On classical solutions of the Vlasov-Poisson-Fokker-Planck system, Indiana Univ. Math. J, vol.39, pp.105-156, 1990.

F. Poupaud, Runaway phenomena and fluid aproximation under high fields in semiconductors kinetic theory, Z. Angew. Math. Mech, vol.72, pp.359-372, 1992.

A. D. , An introduction to the Einstein-Vlasov system, Mathematics of gravitation, Part I 35-68, Polish Acad. Sci, vol.41, 1997.

A. D. , The Einstein-Vlasov system, The Einstein equations and the large scale behavior of gravitational fields), 2004231.

R. Robert, Unicité de la solution faibleà support compact de l'équation de Vlasov-Poisson, C. R. Acad. Sci. Paris, Sér. I, vol.324, pp.873-877, 1997.

J. Roquejoffre, Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations, J. Math. Pures Appl, vol.80, pp.85-104, 2001.

J. Roquejoffre, Large time convergence in Hamilton-Jacobi equations, Proceedings in Control Systems : Theory, Numerics and Applications, 2005.

L. Saint-raymond, Convergence of solutions to the Boltzmann equation in the incompressible Euler limit, Arch. Ration. Mech. Anal, vol.166, pp.47-80, 2003.

J. Schaeffer, The classical limit of the relativistic Vlasov-Maxwell system, Comm. Math. Phys, vol.104, pp.403-421, 1986.

J. Schaeffer, Discrete approximation of the Vlasov-Poisson system, Quart. Appl. Math, vol.45, pp.59-73, 1987.

J. Schaeffer, Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions, Comm. Partial Differential Equations, vol.16, pp.1313-1335, 1991.

P. E. Souganidis, Existence of viscosity solutions of Hamilton-Jacobi equations, J. Differential Equations, vol.56, pp.345-390, 1985.

T. Ukai and S. Okabe, On the classical solution in the large time of the two dimensional Vlasov equations, Osaka J. Math, vol.15, pp.245-261, 1978.

H. D. Victory, On the existence of global weak solutions for the Vlasov-Poisson-Fokker-Planck system, J. Math. Anal. Appl, vol.160, pp.525-555, 1991.

H. D. Victory and E. J. Allen, The convergence theory of particle-in-cell methods for multi dimensional Vlasov-Poisson system, SIAM J. Numer. Anal, vol.28, pp.1207-1241, 1991.

S. Wollman, A discrete approximation to the one-dimensional Vlasov-Poisson system, Transport Theory Statist. Phys, vol.17, pp.561-594, 1988.

S. Wollman, Convergence of a numerical approximation to the one dimensional Vlasov-Poisson system, Transport Theory Statist. Phys, vol.19, pp.545-562, 1990.

H. T. Yau, Relative entropy and hydrodynamics of Ginzburg-Landau models, Lett. Math. Phys, vol.22, pp.63-80, 1991.