Abstract

Transition Regime Models from Kinetic Equations

David Levermore
University of Maryland

This talk will survey some recent advances in the development of
transition regime models from kinetic equations. The classes of
stationary-balance models and quasistationary-balance models will be
presented for linear kinetic equations. These models share elements
with both traditional moment closures and expansions. They also
include a natural framework for developing boundary conditions
Generalizations of these ideas to nonlinear kinetic settings include
entropy-based moment closures, and hierarchies of fluid dynamical
systems for the classical Boltzmann equation that dissipate entropy
and include dispersive terms with higher order space derivatives.