A kinetic equation for spin polarized Fermi systems
Leif Arkeryd, ,Mathematical Sciences, S-41296 Gothenburg
This paper considers a kinetic Boltzmann equation, having a general type of collision kernel and modelling spin-dependent Fermi gases at low temperatures. The distribution functions have values in the space of positive hermitean $2\times2$ complex matrices. Global existence of weak solutions is proved in $L^1\cap L^{\infty}$ for the initial value problem of this Boltzmann equation in a periodic box.
arXiv:1207.0590•Kinetic and Related Models•Dec 10, 2013•3 citations