Transport in transition regimes

Series: The IMA Volumes in Mathematics and its Applications , Vol. 135

Naoufel Ben Abdallah, Collectif Springer

308 pages, parution le 13/11/2003

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Résumé

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.

Contributors : About 40 authors

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
Hybrid particle-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 relaxations systems in a quarter plane
Combined list of workshops participants for IMA volumes 135 and 136

L'auteur - Collectif Springer

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Naoufel Ben Abdallah, Collectif Springer
Parution	13/11/2003
Nb. de pages	308
Format	16 x 24
Couverture	Relié
Poids	555g
Intérieur	Noir et Blanc
EAN13	9780387404950