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2026 / June Volume 21 No.2
Fluid-dynamic limit of the Enskog equation with the guaranteed H-theorem
Published Date
2026 / June
Title
Fluid-dynamic limit of the Enskog equation with the guaranteed H-theorem
Author
Aoto Takahashi, Shigeru Takata
Keyword
Enskog equation, dense gas, fluid-dynamic limit, Chapman-Enskog method
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Pagination
217-253
Abstract

The fluid-dynamic limit of the Enskog equation with a slight modification is discussed on the basis of the Chapman–Enskog method. This modified version of the Enskog equation has been recently shown by the present authors to ensure the H-theorem. In the present paper, it is shown that the modified version recovers the same fluid-dynamic description of the dense gas as the original Enskog equation, at least up to the level of the Navier–Stokes–Fourier set of equations inclusive. Since the original Enskog equation is known to recover the fluid-dynamical transport properties well, this result implies that the modified version of the Enskog equation provides consistent descriptions both thermodynamically and fluid-dynamically.

DOI
10.21915/BIMAS.2026203
https://doi.org/10.21915/BIMAS.2026203
AMS Subject
Classification
82C40, 76P99
Received
2025-06-10
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