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arXiv · 1606.05586

The Maxwell-Boltzmann approximation for ion kinetic modeling

Claude Bardos·François Golse·Toan T. Nguyen·Rémi Sentis
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Abstract

This paper aims to justify the Maxwell-Boltzmann approximation for electrons, preserving the dynamics of ions at the kinetic level. Under sufficient regularity assumption, we provide a precise scaling where the Maxwell-Boltzmann approximation is obtained. In addition, we prove that the reduced ions problem is well-posed globally in time.

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Claude Bardos, François Golse, Toan T. Nguyen, Rémi Sentis. 2016-06-17. The Maxwell-Boltzmann approximation for ion kinetic modeling. https://arxiv.org/abs/1606.05586

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