Talk
Abstract:
Transition Regimes for Linear Kinetic Equations
David
Levermore
Department of Mathematics
University of Arizona
This talk presents a framework for deriving well-posed transition
regime models. Traditionally moment closures or Chapman-Enskog
type expansions have been used to derive such models. Moment
closures lead to large first-order systems while expansions
yield a single higher order equation that can be ill-posed.
Elements of both these traditional approaches are present in
the new framework, which yields well-posed systems of moderate
size and order that capture the same formal accuracy as both
larger moment systems and higher order Chapman-Enskog approximations.
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