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math-ph2020★ 2 cited
On a thermostated Kac model with rescaling
Roberto Cortez, Hagop Tossounian
We introduce a global thermostat on Kac's 1D model for the velocities of particles in a space-homogeneous gas subjected to binary collisions, also interacting with a (local) Maxwel…
math-ph2015
Quantitative uniform propagation of chaos for Maxwell molecules
Roberto Cortez, Joaquin Fontbona
We prove propagation of chaos at explicit polynomial rates in Wasserstein distance W_2 for Kac's N-particle system associated with the spatially homogeneous Boltzmann equation for…