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arXiv · 1406.5806

Singularity of macroscopic variables near boundary for gases with cut-off inverse-power potential

I-Kun Chen·Chun-Hsiung Hsia
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Abstract

In this article, the boundary singularity for stationary solutions of the linearized Boltzmann equation with cut-off inverse power potential is analyzed. In particular, for cut-off hard-potential cases, we establish the asymptotic approximation for the gradient of the moments. Our analysis indicates the logarithmic singularity of the gradient of the moments.

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I-Kun Chen, Chun-Hsiung Hsia. 2014-06-23. Singularity of macroscopic variables near boundary for gases with cut-off inverse-power potential. https://arxiv.org/abs/1406.5806

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