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This is a Quantitative Study study.

October 2, 2025Open Access

From kinetic mixtures to compressible two-phase flow: A BGK-type model and rigorous derivation

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This analysis presents a BGK-type model for binary gas mixtures, showing convergence to the compressible two-phase Euler equations.

The BGK-type model establishes a new framework for analyzing compressible two-phase flow.
Numerical experiments confirm the converging behavior of the BGK model toward the isentropic two-phase Euler system.
The study introduces a rigorous derivation of Euler equations from kinetic formulations using entropy methods.
Dissipative Navier-Stokes corrections are identified to enhance the model's accuracy in the hydrodynamic regime.

Cho et al. (2025) studied this question.

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