PUBLICATIONS

ARTICLES PARUS OU ACCEPTÉS

1) 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);

2) 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);

3) 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);

4) M. Bostan, Periodic solutions for evolution equations, Electron. J. Differential Equations, Monograph 3, 41 pp. (2002);

5) 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);

6) 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);

7) 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);

8) M. Bostan, Almost periodic solutions for first order differential equations, Differential Integral Equations, Vol. 19, No. 1, pp. 91-120 (2006);

9) M. Bostan, P. Hild, Starting flow analysis for Bingham fluids, Nonlinear Anal., Vol. 64, No. 5, pp. 1119-1139 (2006);

10) M. Bostan, Asymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speed, J. Differential Equations, Vol. 227, No. 2, pp. 444-498 (2006);

11) 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);

12) 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);

13) 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);

14) M. Bostan, G. Namah, Time periodic viscosity solutions of Hamilton-Jacobi equations, Commun. Pure Appl. Anal., Vol. 6, No. 2, pp. 389-410 (2007);

15) 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);

16) M. Bostan, Mild solutions for the one dimensional Nordström-Vlasov system, Nonlinearity, Vol. 20, No. 5, pp. 1257-1281 (2007);

17) 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);

18) 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);

19) 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;

20) 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);

21) M. Bostan, Homogenization of the 1D Vlasov-Maxwell equations, IMA J. Appl. Math., Vol. 73, No. 3, pp. 539-555 (2008);

22) 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);

23) M. Bostan, Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system, Nonlinear Anal., Vol. 69, No. 12, pp. 4365-4379 (2008);

24) 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);

25) 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);

26) 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);

27) M. Bostan, J. A. Carrillo, Global solutions for the one dimensional Water-Bag model, Commun. Math. Sci., Sci., Vol. 7, No. 1, pp. 129-141 (2009);

28) 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);

29) M. Bostan, Stationary solutions for the one dimensional Nordström-Vlasov system, Asymptot. Anal., Vol. 64, No. 3-4, pp. 155-183 (2009);

30) M. Bostan, Permanent regimes for the Vlasov-Maxwell equations with specular boundary conditions, Phys. A Vol. 42, No. 35, 20 pp. (2009);

31) M. Bostan, Boundary value problem for the stationary Nordström-Vlasov system, J. Korean Math. Soc. Vol. 47, No. 4, pp. 743-766 (2010);

32) M. Bostan, Collisional models for strongly magnetized plasmas. The gyrokinetic Fokker-Planck equation, Libertas Math., Vol. 30, pp. 99-117 (2010);

33) 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);

34) 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);

35) 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);

36) M. Bostan, Gyrokinetic Vlasov equation in three dimensional setting. Second order approximation, SIAM J. Multiscale Model. Simul., Vol. 8. No. 5, pp. 1923-1957 (2010);

37) 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, (2011);

38) M. Bostan, I. M. Gamba, T. Goudon, A. Vasseur, Boundary value problems for the linear Boltzmann equation involving a variable force field, à paraître dans Indiana Univ. Math. J. (2011).

COMPTES RENDUS

39) 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);

40) M. Bostan, Solutions périodiques des équations d'évolution, C. R. Acad. Sci. Paris, Sér. I Math. 332, pp. 401-404 (2001);

41) M. Bostan, Solutions périodiques en temps des équations de Vlasov-Maxwell, C. R. Acad. Sci. Paris, Sér. I Math. 339, pp. 451-456 (2004);

42) 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);

43) 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).

PROCEEDINGS

44) 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);

45) M. Bostan, Asymptotic regimes for plasma physics with strong magnetic fields, French-Chinese Institute on Applied Mathematics, Series in Contemporary Applied Mathematics, Higher Education Press Beijing, World Sci. Publ. Singapore;

46) M. Bostan, Gyro-kinetic models for strongly magnetized plasmas with general magnetic shape, Discrete and Continuous Dynamical Systems, Series S.

ARTICLES SOUMIS

47) M. Bostan, I.M. Gamba, Impact of strong magnetic fields on collision mechanism for transport of charged particles;

ARTICLES EN PRÉPARATION

48) M. Bostan, The Landau-Fokker-Planck equation for magnetic confinement;

49) M. Bostan, On the adjoint problem of cell division models.