Contractive Probability Metrics and Asymptotic Behavior of Dissipative Kinetic Equations

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A well-posedness theory in measures for some kinetic models of collective motion (2009, background): “sportation and notation Let us recall some notation and known results about mass transportation that we will use in the next sections. For a more detailed approach, the interested reader can refer to [9, 36]. We consider the space of probability measures P1(Rd), consisting of all probability measure”
Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities (2010, methodology): “3) in Section 4 borrowing the ideas of [17].”
Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model (2010, background): “12) is the analogous of the Boltzmann equation for Maxwell molecules [5, 11], where the collision frequency is assumed to be constant.”
On Steady Distributions of Kinetic Models of Conservative Economies (2008, background): “Fourier distance, see [8].”
Kac’s program in kinetic theory (2011, background): “We refer to [65, 76, 15] and the references therein for more details on these distances.”
On Kac's chaos and related problems (2012, background): “The proofs is a mere adaptation of classical results on comparison of distances in probability spaces as it can be found in [56, 20, 50] for instance.”