Entropy production estimate for the ES-BGK model with the correct Prandtl number

نویسندگان

چکیده

In this paper, we establish the entropy-entropy production estimate for ES-BGK model, a generalized version of BGK model Boltzmann equation introduced better approximation in Navier-Stokes limit. Our result improves previous entropy [38] that (1) full range Prandtl parameters −1/2≤ν<1 including critical case ν=−1/2 is covered, and (2) sharper bound obtained. An explicit characterization coefficient also presented.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2022

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2022.126323