On the trend to global equilibrium in spatially inhomogeneous entropy‐dissipating systems: The linear Fokker‐Planck equation

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Pointwise estimates for a class of non-homogeneous Kolmogorov equations (2008, background): “then (1.4) becomes the prototype of the linear Fokker-Planck equation (see, for instance, [ 8 ] and [32]) and it can be written in the form (1.1) by choosing m0 = n; N = 2n and”
A Kinetic Flocking Model with Diffusion (2010, methodology): “For the classical linear Fokker-Planck equation (1.16), thank to the existence of Lyapunov functionals, the hypocoercivity with almost exponential rate or exponential rate in time has been extensively studied by Desvillettes-Villani [ 7 ], Mouhot-Neumann [20], Dolbeault-Mouhot-Schmeiser [8] and Vill”
Hypocoercive Diffusion Operators (2006, methodology): “Together with Laurent Desvillettes [3], [5], I have developed a method to study quite general hypocoercive situations.”
Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes (2012, methodology): “The trend to equilibrium for solutions of kinetic equations has been investigated in many papers using entropy methods; see for example Desvillettes and Villani [2001], Villani [2009].”