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arxiv: 1006.4048 · v4 · pith:B4QSIQXAnew · submitted 2010-06-21 · 🧮 math.AP

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

classification 🧮 math.AP
keywords boltzmannequationeulerfermionsincompressiblelimitanalogouscase
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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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