Roberto Natalini, Shaoqiang Tang
Discrete Kinetic Models for Dynamical Phase Transitions
(504K, Postscript gzipped)

ABSTRACT.   In this paper, we shall describe discrete kinetic 
models, which serve as a novel and systematic way to regularized a 
mixed-type system describing the dynamical phase transitions. In the 
limit of zero mean free path, it is expected to provide abundant 
reasonable kinetic relations and nucleation criteria for constructing 
Riemann solvers. Some particular models have been investigated 
theoretically and numerically.