Geodesic
Asymptotic analysis of the linearized Boltzmann collision operator from angular cutoff to non-cutoff
Annales de l'I.H.P. Analyse non linéaire, Tome 39 (2022) no. 5, pp. 1097-1178

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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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DOI : 10.4171/aihpc/28
Classification : 35Q20, 82C40
Keywords: Inhomogeneous Boltzmann equation, long-range interactions, asymptotic analysis, spectral gap, global-in-time error 
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     author = {He, Ling-Bing and Zhou, Yu-Long},
     title = {Asymptotic analysis of the linearized {Boltzmann} collision operator from angular cutoff to non-cutoff},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1097--1178},
     volume = {39},
     number = {5},
     year = {2022},
     doi = {10.4171/aihpc/28},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpc/28/}
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He, Ling-Bing; Zhou, Yu-Long. Asymptotic analysis of the linearized Boltzmann collision operator from angular cutoff to non-cutoff. Annales de l'I.H.P. Analyse non linéaire, Tome 39 (2022) no. 5, pp. 1097-1178. doi: 10.4171/aihpc/28

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