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arXiv · 1006.4048

The incompressible Euler limit of the Boltzmann equation for a gas of fermions

Thibaut Allemand
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Abstract

We are interested in the hydrodynamic limit of the Boltzmann equation for a gas of fermions in the incompressible Euler regime. We use the relative entropy method as improved by Saint-Raymond. Our result is analogous to what is obtained in the classical case, but the treatment is slightly complicated by the cubic nonlinearity of the collision operator.

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Thibaut Allemand. 2010-06-21. The incompressible Euler limit of the Boltzmann equation for a gas of fermions. https://arxiv.org/abs/1006.4048

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