Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.
type: Item
instance of: scholarly article
title: Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.
zbMATH Open document ID: 1081.82616
DOI: 10.1007/BF02179298
published in: Journal of Statistical Physics
publication date: 2001-01-16T00:00:00Z
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 76P05
zbMATH DE Number: 1554013
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: Fourier transform
zbMATH Keywords: probability measures
zbMATH Keywords: weak convergence
zbMATH Keywords: Prokhorov metric
zbMATH Keywords: bivariate distributions with given marginals
zbMATH Keywords: Tanaka functional
author: Ester Gabetta
author: G. Toscani
author: Bernt Wennberg
MaRDI profile type: Publication
cites work: Intermolecular forces of infinite range and the Boltzmann equation
cites work: Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
cites work: Q4726487
cites work: Q4135140
cites work: Q4711493
cites work: Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
cites work: Entropy production estimates for Boltzmann equations with physically realistic collision kernels
cites work: Entropy production by block variable summation and central limit theorems
cites work: The Boltzmann equation and its applications
cites work: Q4284723
cites work: About the regularizing properties of the non-cut-off Kac equation
cites work: Convergence of Baire measures
cites work: Distances of Probability Measures and Random Variables
cites work: Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range
cites work: On convergence to equilibrium for Kac’s caricature of a Maxwell gas
cites work: Q3128688
cites work: APPROXIMATING THE BROADWELL MODEL IN A STRIP
cites work: Q3232200
cites work: Q3259971
cites work: Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
cites work: An inequality for certain functional of multidimensional probability distributions
cites work: Q3240992
cites work: The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation
cites work: Lower bounds for the solutions to the Kac and the boltzmann equation
cites work: The Existence of Probability Measures with Given Marginals
cites work: An inequality for a functional of probability distributions and its application to Kac's one-dimensional model of a Maxwellian gas
cites work: Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
cites work: Stability and exponential convergence in Lp for the spatially homogeneous Boltzmann equation
Recommended article: Statistical solutions of the Boltzmann equation near the equilibrium
Recommended article: Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
Recommended article: Probability Measures with Finite Moments and the Homogeneous Boltzmann Equation
Recommended article: Probability Approaches to Spatially Homogeneous Boltzmann Equations
Recommended article: A statistical approach to the solution of the Boltzmann equation
Recommended article: Q4524430
Recommended article: Q3572348
Recommended article: On measure solutions of the Boltzmann equation. II: Rate of convergence to equilibrium
Recommended article: Q4307502
Recommended article: Q5701602
description: scientific article; zbMATH DE number 1554013