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

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arxiv 2410.22503 v1 pith:C5ZVT64M submitted 2024-10-29 math.AP

Yan Guo , Junhwa Jung This is my paper · ORCID
classification math.AP
keywords domainboltzmanndiffusiveequationsexpansionexteriorflowapply
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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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  1. Global dynamics of isothermal rarefied gas flows in an infinite layer

    math.AP 2024-11 conditional novelty 8.0 of 10

    Global solutions near Maxwellians are constructed for the Boltzmann equation in an infinite layer with diffuse reflection boundaries, with heat-equation-type decay in the 3D case and existence without decay in the 2D case.

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