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20242026
most citedGlobal dynamics of isothermal rarefied gas flows in an infinite layer

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math.AP2025

Diffusive limit of the Boltzmann equation around Rayleigh profile in the half space

Hongxu Chen, Renjun Duan

This paper concerns the diffusive limit of the time evolutionary Boltzmann equation in the half space for a small Knudsen number . F…

math.AP2025

The Boltzmann equation in an infinite layer: spectrum and asymptotics toward the heat equation

Hongxu Chen, Renjun Duan, Shuangqian Liu

In the paper, we develop spectral theory to analyze the sharp asymptotic behavior of solutions to the Boltzmann equation around global Maxwellians in a three-dimensional infinite l…