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E-raamat: Transport in Transition Regimes

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IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components. This includes processes that involve a wide range of length scales over different spatio-temporal regions of the problem, ranging from the order of mean-free paths to many times this scale. Consequently, effective modeling techniques require different transport models in each region. The first issue is that of finding efficient simulations techniques, since a fully resolved kinetic simulation is often impractical. One therefore develops homogenization, stochastic, or moment based subgrid models. Another issue is to quantify the discrepancy between macroscopic models and the underlying kinetic description, especially when dispersive effects become macroscopic, for example due to quantum effects in semiconductors and superfluids. These two volumes address these questions in relation to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.

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Springer Book Archives
BGK-Burnett equations: A new set of second-order hydrodynamic equations
for flows in continuum-transition regime.- Steady states for Streaters
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.
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