Vanishing Angular Singularity Limit to the Hard-Sphere Boltzmann Equation

In this note we study Boltzmann’s collision kernel for inverse power law interactions U s ( r ) = 1 / r s - 1 for s > 2 in dimension d = 3 . We prove the limit of the non-cutoff kernel to the hard-sphere kernel and give precise asymptotic formulas of the singular layer near θ ≃ 0 in the limit s →...

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Veröffentlicht in:	Journal of statistical physics 2023-03, Vol.190 (4), Article 77
Hauptverfasser:	Jang, Jin Woo, Kepka, Bernhard, Nota, Alessia, Velázquez, Juan J. L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Statistical Physics and Dynamical Systems Theoretical
Online-Zugang:	Volltext
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