Uniform propagation of chaos for the thermostated Kac model

DOI10.1007/s10955-021-02763-9zbMath1473.35387arXiv2001.08262OpenAlexW3164523125MaRDI QIDQ2038957

Hagop Tossounian, Roberto Cortez

Publication date: 7 July 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08262

zbMATH Keywords

coupling methodskinetic theory of gasespropagation of chaosKac modelthermostated Kac model

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Interacting particle systems in time-dependent statistical mechanics (82C22) Linear operator inequalities (47A63) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Related Items (1)

Grand canonical evolution for the Kac model

Cites Work

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• Uniform contractivity in Wasserstein metric for the original 1D Kac's model
• Quantitative propagation of chaos for generalized Kac particle systems
• Kac's program in kinetic theory
• On the rate of convergence in Wasserstein distance of the empirical measure
• Quantitative and qualitative Kac's chaos on the Boltzmann's sphere
• Uniform propagation of chaos for Kac's 1D particle system
• Uniform approximation of a Maxwellian thermostat by finite reservoirs
• On Villani's conjecture concerning entropy production for the Kac master equation
• The Kac model coupled to a thermostat
• Entropy and chaos in the Kac model
• Ecole d'été de probabilités de Saint-Flour XIX, France, du 16 août au 2 septembre 1989
• Stochastic particle approximations for generalized Boltzmann models and convergence estimates
• Quantitative uniform propagation of chaos for Maxwell molecules
• Spectral gap for Kac's model of Boltzmann equation.
• Propagation of chaos for a thermostated kinetic model
• Propagation of chaos for the thermostatted Kac master equation
• Partially thermostated Kac model
• An extension of Wild's sum for solving certain non-linear equation of measures
• Optimal Transport

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