Dispersive transport equations and multiscale models

Series: The IMA Volumes in Mathematics and its Applications , Vol. 136

Naoufel Ben Abdallah, Collectif Springer

302 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 wdie 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

On the derivation of nonlinear Schrodinger and Vlasov equations
Taking on the multiscale challenge
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system
Integrated multiscale process simulation in microelectronics
Constitutive relations for viscoelastic fluid models derived from kinetic theory
Dispersive/hyperbolic hydrodynamic models for quantum transport (in semiconductor devices)
A review on small debye length and quasi- neutral limits in macroscopic models for charged fluids
Global solution of the Cauchy problem for the relativistic Vlasov-Poisson equation with cylindrically symmetric data
Mesoscopic scale modeling for chemical vapor deposition in semiconductor manufacturing
Asymptotic limits in macroscopic plasma models
A Landau-Zener formula for two-scaled Wigner measures
Mesoscopic modeling of surface processes
Homogenous and heterogeneous models for silicon oxidation
Feature-scale to wafer-scale modeling and simulation of physical vapor deposition
WKB analysis in the semiclassical limit of a discrete NLS system Bifurcation analysis of cylindrical Couette flow with evaporation and condensation by the Boltzmann equation
Magnetic instability in a collisionless plasma
Combined list of wokshops participants for IMA volumes 135: transport in transition regimes and 136: dispersive transport equations and multiscale models.

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Naoufel Ben Abdallah, Collectif Springer
Parution	13/11/2003
Nb. de pages	302
Format	16 x 24
Couverture	Relié
Poids	560g
Intérieur	Noir et Blanc
EAN13	9780387404967