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

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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 \(-1/2\).

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Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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Acknowledgements

Seok-Bae Yun is supported by Samsung Science and Technology Foundation under Project Number SSTF-BA1801-02.

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Authors and Affiliations

  1. Department of mathematics, Sungkyunkwan University, Suwon, 440-746, Republic of Korea

    Sung-jun Son & Seok-Bae Yun

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  1. Sung-jun Son
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  2. Seok-Bae Yun
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Correspondence to Seok-Bae Yun.

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Additional information

This article is part of the topical collection “T.C.: Kinetic Theory” edited by Seung-Yeal Ha, Marie-Therese Wolfram, Jose Carrillo and Jingwei Hu.

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Son, Sj., Yun, SB. Cauchy problem for the ES-BGK model with the correct Prandtl number. Partial Differ. Equ. Appl. 3, 41 (2022). https://doi.org/10.1007/s42985-022-00175-2

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