Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules
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Publication:272973
DOI10.1214/14-AOP983zbMath1341.82060arXiv1302.5810WikidataQ105584306 ScholiaQ105584306MaRDI QIDQ272973
Nicolas Fournier, Stéphane Mischler
Publication date: 21 April 2016
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5810
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Kac's program in kinetic theory
- Constructive quantization: approximation by empirical measures
- On the rate of convergence in Wasserstein distance of the empirical measure
- Quantitative and qualitative Kac's chaos on the Boltzmann's sphere
- Scalings for a ballistic aggregation equation
- On measure solutions of the Boltzmann equation. I: Moment production and stability estimates
- Asymptotic of grazing collisions and particle approximation for the Kac equation without Cutoff
- A weak criterion of absolute continuity for jump processes: Application to the Boltzmann equation
- Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions
- On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity
- A review of Boltzmann equation with singular kernels
- Measurability of optimal transportation and convergence rate for Landau type interacting particle systems
- The Boltzmann equation and its applications
- Stopping times and tightness
- Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems
- On the spatially homogeneous Boltzmann equation
- Stochastic particle approximations for generalized Boltzmann models and convergence estimates
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- Entropy dissipation and long-range interactions
- Probabilistic interpretation and numerical approximation of a Kac equation without cutoff
- Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
- Conservation of energy, entropy identity, and local stability for the spatially homogeneous Boltzmann equation
- A new approach to quantitative propagation of chaos for drift, diffusion and jump processes
- Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition
- On the well-posedness of the spatially homogeneous Boltzmann equation with a moderate angular singularity
- On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
- On Kac's chaos and related problems
- Propagation of chaos for the Boltzmann equation
- On the Boltzmann equation. I: Existence
- On the Boltzmann equation. II: The full initial value problem
- A stochastic particle numerical method for 3D Boltzmann equations without cutoff
- Combinatorial Optimization Over Two Random Point Sets
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- [https://portal.mardi4nfdi.de/wiki/Publication:3347061 �quations de type de Boltzmann, spatialement homog�nes]
- Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
- An exponential formula for solving Boltzmann's equation for a Maxwellian gas
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