| Abstract: |
| In this talk, we consider the existence and asymptotic behavior of fermionic quantum BGK
model, which is the relaxation model of the quantum Boltzmann equation for fermions, in
the case when the initial data starts sufficiently close to a global Fermi-Dirac distribution.
Two difficulties, among others, unobserved in the study of classical problems arise. First, the existence of
the equilibrium parameters should be established through a set of nonlinear equations in each
iteration step. Second, it is observed that the momentum weight imposed on the perturbation to derive
the coercivity of the linearized relaxation operator should take a different form from that of
the classical case. |
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