This volume focuses on modeling processes for which transport is one of the most complicated components, requiring different transport models in each region. The authors apply questions to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.
From the contents: 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 transitional regime for rarefied flows and radiative transfer.- Some recent results on the kinetic 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.