Abstract:
We study the relaxation of
kinetic BGK models involving a high-field term in the transport
operator. This leads to multidimensional scalar conservation laws with
a flux which is perturbed with respect to classical relaxation. The
proof of the relaxation limit makes appear modified Maxwellians. We
consider "pseudo distribution functions" which can take also negative
values and introduce appropriate admissible states. This is a first
step towards adapting this kind of analysis to quantum kinetic BGK
models.