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math.PR2007★ 33 cited
Propagation of chaos and Poincaré inequalities for a system of particles interacting through their cdf
Benjamin Jourdain, Florent Malrieu
In the particular case of a concave flux function, we are interested in the long time behaviour of the nonlinear process associated to the one-dimensional viscous scalar conservati…
math.PR2006
Logarithmic Sobolev Inequalities for Inhomogeneous Markov Semigroups
Jean-François Collet, Florent Malrieu
We investigate the dissipativity properties of a class of scalar second order parabolic partial differential equations with time-dependent coefficients. We provide explicit conditi…