Cauchy problem for the ES-BGK model with the correct Prandtl number

Sung-jun Son () and Seok-Bae Yun ()
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Sung-jun Son: Sungkyunkwan University
Seok-Bae Yun: Sungkyunkwan University

Partial Differential Equations and Applications, 2022, vol. 3, issue 3, 1-9

Abstract: Abstract In this paper, we establish the existence of weak solutions to the ellipsoidal BGK model (ES-BGK model) of the Boltzmann equation with the correct Prandtl number, which corresponds to the case when the Knudsen parameter is $$-1/2$$ - 1 / 2 .

Keywords: BGK model; Ellipsoidal BGK model; Boltzmann equation; Kinetic theory of gases; Cauchy problem; Correct Prandtl number; 82C40; 35Q20; 76P05; 35F25 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00175-2

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