On linear hypocoercive BGK models, From Particle Systems to Partial Differential Equations III, pp.1-37, 2016. ,
A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case, Electronic Communications in Probability, vol.13, pp.60-66, 2008. ,
Improved intermediate asymptotics for the heat equation, Applied Mathematics Letters, vol.24, pp.76-81, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00409935
A model for collision processes in gases. I. small amplitude processes in charged and neutral one-component systems, Physical review, vol.94, p.511, 1954. ,
Existence and uniqueness of a global smooth solution for the VlasovPoisson-Fokker-Planck system in three dimensions, J. Funct. Anal, vol.111, pp.239-258, 1993. ,
Exponential decay to equilibrium for a fiber lay-down process on a moving conveyor belt, SIAM J. Math. Anal, vol.49, pp.3233-3251, 2017. ,
Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles, Comm. Partial Differential Equations, vol.28, pp.969-989, 2003. ,
Diffusion limit for nonhomogeneous and non-microreversible processes, Indiana Univ. Math. J, vol.49, pp.1175-1198, 2000. ,
Hypocoercivity for kinetic equations with linear relaxation terms, Comptes Rendus Mathématique, vol.347, pp.511-516, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00331947
Hypocoercivity for linear kinetic equations conserving mass, Transactions of the American Mathematical Society, vol.367, pp.3807-3828, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00482286
Hypocoercivity of linear degenerately dissipative kinetic equations, Nonlinearity, vol.24, pp.2165-2189, 2011. ,
Spectral properties of hypoelliptic operators, Comm. Math. Phys, vol.235, pp.233-253, 2003. ,
Hypocoercivity in Phi-entropy for the linear Boltzmann equation on the torus, 2017. ,
The Cauchy problem in kinetic theory, Society for Industrial and Applied Mathematics (SIAM), 1996. ,
Factorization of non-symmetric operators and exponential H-theorem, pp.1-137, 2017. ,
Geometric analysis of the linear Boltzmann equation I. Trend to equilibrium, Ann. PDE, vol.1, p.1, 2015. ,
Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation, Asymptot. Anal, vol.46, pp.349-359, 2006. ,
Isotropic hypoellipticity and trend to equilibrium for the Fokker-Planck equation with a high-degree potential, Arch. Ration. Mech. Anal, vol.171, pp.151-218, 2004. ,
Hypoelliptic second order differential equations, Acta Math, vol.119, pp.147-171, 1967. ,
, Convergence rates for nonequilibrium Langevin dynamics. Annales mathématiques du Québec, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01467131
On the equations of Brownian motion, Teor. Verojatnost. i Primenen, vol.9, pp.466-491, 1964. ,
The Fokker-Planck equation with subcritical confinement force, 2015. ,
The Boltzmann equation and thirteen moments, Japan J. Appl. Math, vol.7, pp.301-320, 1990. ,
,
, Ann. of Math, vol.35, issue.2, pp.116-117, 1934.
Exponential stability of slowly decaying solutions to the kinetic-Fokker-Planck equation, Arch. Ration. Mech. Anal, vol.221, pp.677-723, 2016. ,
A note on Fisher Information hypocoercive decay for the linear Boltzmann equation, 2017. ,
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus, Nonlinearity, vol.19, issue.4, pp.969-998, 2006. ,
Continuity of solutions of parabolic and elliptic equations, Amer. J. Math, vol.80, pp.931-954, 1958. ,
Methods of modern mathematical physics. I, second ed, 1980. ,
Asymptotic behaviour methods for the Heat Equation, Convergence to the Gaussian. ArXiv e-prints, 2017. ,
On classical solutions of Vlasov-Poisson Fokker-Planck systems, Indiana Univ. Math. J, vol.39, pp.105-156, 1990. ,
Hypocoercive diffusion operators, International Congress of Mathematicians, vol.III, pp.473-498, 2006. ,
, Hypocoercivity. Memoirs Amer. Math. Soc, vol.202, 2009.
, PSL university, vol.7534
, PSL university, vol.7534
, PSL university, vol.7534
,
, Oskar-Morgenstern-Platz, vol.1, 1090.