Asymptotic analysis of the linearized Boltzmann collision operator from angular cutoff to non-cutoff (Q2693533)
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scientific article; zbMATH DE number 7665917
| Language | Label | Description | Also known as |
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| English | Asymptotic analysis of the linearized Boltzmann collision operator from angular cutoff to non-cutoff |
scientific article; zbMATH DE number 7665917 |
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Asymptotic analysis of the linearized Boltzmann collision operator from angular cutoff to non-cutoff (English)
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21 March 2023
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Summary: We give quantitative estimates on the asymptotics of the linearized Boltzmann collision operator and its associated equation from angular cutoff to non-cutoff. On one hand, the results disclose the link between the hyperbolic property resulting from Grad's cutoff assumption and the smoothing property due to the long-range interaction. On the other hand, with the help of localization techniques in phase space, we observe some new phenomena in the asymptotic limit process.
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inhomogeneous Boltzmann equation
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long-range interactions
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asymptotic analysis
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spectral gap
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global-in-time error
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