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

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

2010-06-21

arxiv.org/abs/1006.4048v4

Mathematics

Analysis of PDEs

25 pages

Scientific paper

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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