arXiv:1006.4048 Abstract | arXiv Analytics

arXiv:1006.4048 [math.AP]Abstract References Reviews Resources

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

Published 2010-06-21, updated 2011-08-13Version 4

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.

Comments: 25 pages

Categories: math.AP

Keywords: incompressible euler limit, boltzmann equation, incompressible euler regime, hydrodynamic limit, relative entropy method

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