B. Aguer, S. De-bièvre, P. Lafitte, and P. E. Parris, Classical motion in force fields with short range correlations, J. Stat. Phys, vol.138, issue.4-5, pp.780-814, 2010.
DOI : 10.1007/s10955-009-9898-7

URL : https://hal.archives-ouvertes.fr/hal-00768632

R. Alonso, T. Goudon, and A. Vavasseur, Damping of particles interacting with a vibrating medium, Ann. IHP. Anal. Non-Linéaire, vol.34, issue.7, pp.1727-1758, 2017.
DOI : 10.1016/j.anihpc.2016.12.005

URL : https://hal.archives-ouvertes.fr/hal-01270348

G. Backus, Linearized plasma oscillations in arbitrary electron distributions, J. Math. Phys, vol.1, issue.559, pp.178-191, 1960.
DOI : 10.1063/1.1703693

J. Bedrossian, Nonlinear echoes and Landau damping with insufficient regularity, 2016.
DOI : 10.5802/jedp.652

URL : http://jedp.cedram.org/cedram-bin/article/JEDP_2017____A2_0.pdf

J. Bedrossian and N. Masmoudi, Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations, Publications mathématiques de l'IHÉS, vol.122, pp.195-300, 2015.

J. Bedrossian, N. Masmoudi, and C. Mouhot, Landau damping: paraproducts and Gevrey regularity, Annals of PDE, 2016.
DOI : 10.1007/s40818-016-0008-2

URL : https://link.springer.com/content/pdf/10.1007%2Fs40818-016-0008-2.pdf

J. Bedrossian, N. Masmoudi, and C. Mouhot, Landau damping in finite regularity for unconfined systems with screened interactions, Comm. Pure Applied Math, vol.71, issue.3, pp.537-576, 2018.
DOI : 10.1002/cpa.21730

URL : http://arxiv.org/pdf/1604.05783

L. Bruneau and S. De-bièvre, A Hamiltonian model for linear friction in a homogeneous medium, Comm. Math. Phys, vol.229, issue.3, pp.511-542, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00181007

S. De-bièvre, T. Goudon, and A. Vavasseur, Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov-Poisson system, SIAM J. Math. Anal, vol.48, issue.6, pp.3984-4020, 2016.

S. De-bièvre, T. Goudon, and A. Vavasseur, Stability analysis of a VlasovWave system describing particles interacting with their environmemt, J. Diff. Eq, vol.264, issue.12, pp.7069-7093, 2018.

S. De-bièvre, P. Lafitte, and P. E. Parris, Normal transport at positive temperatures in classical Hamiltonian open systems, Adventures in mathematical physics, vol.447, pp.57-71, 2007.

S. De-bièvre and P. E. Parris, Equilibration, generalized equipartition, and diffusion in dynamical Lorentz gases, J. Stat. Phys, vol.142, issue.2, pp.356-385, 2011.

S. De-bièvre, P. E. Parris, and A. Silvius, Chaotic dynamics of a free particle interacting linearly with a harmonic oscillator, Phys. D, vol.208, issue.1-2, pp.96-114, 2005.

G. Eskin, Lectures on Linear Partial Differential Equations, vol.123, 2011.
DOI : 10.1090/gsm/123

L. C. Evans, Partial differential equations, Graduate Studies in Math. Am. Math. Soc, vol.19, 1998.

E. Faou and F. Rousset, Landau damping in Sobolev spaces for the Vlasov-HMF model, Arch. Ration. Mech. Anal, vol.219, issue.2, pp.887-902, 2016.
DOI : 10.1007/s00205-015-0911-9

URL : https://hal.archives-ouvertes.fr/hal-00956595

T. Goudon and A. Vavasseur, Mean field limit for particles interacting with a vibrating medium, Annali Univ. Ferrara, vol.62, issue.2, pp.231-273, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01421703

T. Goudon and L. Vivion, Numerical investigation of Landau damping in dynamical Lorentz gases, 2018.

Y. Guo, Variational method for stable polytropic galaxies, Archiv. Ration. Mech. Anal, vol.130, pp.163-182, 1999.
DOI : 10.1007/s002050050187

Y. Guo and G. Rein, Stable steady states in stellar dynamics, Archiv. Ration. Mech. Anal, vol.147, pp.225-243, 1999.
DOI : 10.1007/s002050050150

URL : http://arxiv.org/pdf/math-ph/9806006v1.pdf

D. Hand-kwan, T. Nguyen, and F. Rousset, Landau damping for the screened Vlasov-Poisson system on R 3 : a lagrangian proof

P. Lafitte, P. E. Parris, and S. De-bièvre, Normal transport properties in a metastable stationary state for a classical particle coupled to a non-Ohmic bath, J. Stat. Phys, vol.132, issue.5, pp.863-879, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00768623

L. Landau, On the vibration of the electronic plasma, Physics: L.D. Landau, vol.10, pp.445-460, 1946.

C. D. Levermore and M. Oliver, Analyticity of solutions for a generalized Euler equation, J. Differential Equations, vol.133, issue.2, pp.321-339, 1997.
DOI : 10.1006/jdeq.1996.3200

URL : https://doi.org/10.1006/jdeq.1996.3200

L. Lieb and M. Loss, Graduate Studies in Mathematics, vol.14, 2001.

D. Lynden-bell, The stability and vibrations of a gas of stars, Mon. Not. R. Astr. Soc, vol.124, issue.4, pp.279-296, 1962.

D. Lynden-bell, Statistical mechanics of violent relaxation in stellar systems, Mon. Not. R. Astr. Soc, vol.136, pp.101-121, 1967.

C. Mouhot and C. Villani, On Landau damping. Acta Math, vol.207, issue.1, pp.29-201, 2011.

L. Nirenberg, Collection of articles dedicated to S. S. Chern and D. C. Spencer on their sixtieth birthdays, J. Differential Geometry, vol.6, pp.561-576, 1972.

T. Nishida, A note on a theorem of Nirenberg, J. Differential Geom, vol.12, issue.4, pp.629-633, 1977.

L. Schwartz, Méthodes mathématiques pour les sciences physiques. Enseignement des sciences, 1997.

E. Soret and S. De-bièvre, Stochastic acceleration in a random time-dependent potential, Stochastic Process. Appl, vol.125, issue.7, pp.2752-2785, 2015.
DOI : 10.1016/j.spa.2015.01.012

URL : https://hal.archives-ouvertes.fr/hal-01061294

A. Vavasseur, Some models of particles interacting with their environment, 2016.

C. Villani, Lectures notes for a course given in Cotonou, 2010.

G. Wolansky, On nonlinear stability of polytropic galaxies, Ann. Inst. H. Poincaré, vol.16, pp.15-48, 1999.
DOI : 10.1016/s0294-1449(99)80007-9

URL : https://doi.org/10.1016/s0294-1449(99)80007-9