Transport in Transition Regimes

IMA Volumes 135 and 136 focus on mathematical and computational issues involved in modelling processes that contain a wide range of length scales over different spatio-temporal regimes. The papers in these two volumes address applications such as semiconductors, plasmas, fluids, chemically reactive gases and more.

BGK-Burnett equations: A new set of second-order hydrodynamic equations for flows in continuum-transition regime.- Steady states for Streater''s energy-transport models of self-gravitating particles.- Towards a hybrid Monte Carlo method for rarefied gas dynamics.- Comparison of Monte Carlo and deterministic simulations of a silicon diode.- Discrete-velocity models for numerical simulations in transition al regime for rarefied flows and radiative transfer.- Some recent results on the kinetie theory of phase transitions.- Fluids with multivalued internal energy: The anisotropic case.- A note on the energy-transport limit of the semiconductor Boltzmann equation.- Generalized hydrodynamics and irreversible thermodynamics.- A steady-state capturing method for hyperbolic systems with geometrical source terms.- Maximum entropy moment problems and extended Euler equations.- Numerical methods for radiative heat transfer in diffusive regimes and applications to glass manufacturing.- Hydrodynamic limits of the Boltzmann equation.- Sobolev norm and carrier transport in semiconductors.- The evolution of a gas in a radiation field from a kinetic point of view.- Hybrid partide-based approach for the simulation of semiconductor devices: The full-band cellular automaton/Monte Carlo method.- Some remarks on the equations of Burnett and Grad.- Boundary conditions and boundary layers for a class of linear relaxation systems in a quarter plane.- Combined list of workshops participants for IMA volumes 135: transport in transition regimes and 136: dispersive transport equations and multiscale models.