The tanaka functional and exponential convergence for non cut-off molecules

DOI10.1080/00411459608220720zbMath0874.45007OpenAlexW1970113752MaRDI QIDQ3127495

Bernt Wennberg, Ester Gabetta, Giuseppe Toscani

Publication date: 2 November 1997

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459608220720

zbMATH Keywords

Boltzmann equationexponential convergenceBoltzmann-like equationTanaka functionalnon cut-off Kac equationnon cut-off molecules

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15)

Related Items (1)

Central limit theorems for solutions of the Kac equation: speed of approach to equilibrium in weak metrics

Cites Work

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• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.
• Sur la théorie de l'équation intégrodifferentielle de Boltzmann
• About the regularizing properties of the non-cut-off Kac equation
• An inequality for a functional of probability distributions and its application to Kac's one-dimensional model of a Maxwellian gas
• On convergence to equilibrium for Kac’s caricature of a Maxwell gas

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