March 15, 2024Open Access

On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain

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Abstract

In this article, we study the stationary Boltzmann equation with the incoming boundary condition for the hard potential cases. Assuming the smallness of the domain and a suitable normal curvature condition on the boundary, we find a suitable solution space which is a proper subset of the W^1, p space.

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Chen et al. (Fri,) studied this question.

synapsesocial.com/papers/68e73ed6b6db6435876b86b5 https://doi.org/https://doi.org/10.48550/arxiv.2403.10016

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