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arXiv · 2410.22503

Diffusive Expansion of the Boltzmann equation for the flow past an obstacle

Yan Guo·Junhwa Jung
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Abstract

The exterior domain problem is essential in fluid and kinetic equations. In this paper, we establish the validity of the diffusive expansion for the Boltzmann equations to the Navier-Stokes-Fourier system up to the critical time in an exterior domain with non-zero passing flow. We apply the $L^3-L^6$ framework to the unbounded domain in this paper.

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Yan Guo, Junhwa Jung. 2024-10-29. Diffusive Expansion of the Boltzmann equation for the flow past an obstacle. https://arxiv.org/abs/2410.22503

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