Naoufel Ben-Abdallah,Anton Arnold,Pierre Degond,I.M. Gamba,Robert T. Glassey,C. David Levermore,Christian A. Ringhofer: Dispersive Transport Equations and Multiscale Models

Dispersive Transport Equations and Multiscale Models


Description

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.

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Author: Naoufel Ben-Abdallah,Anton Arnold,Pierre Degond,I.M. Gamba,Robert T. Glassey,C. David Levermore,Christian A. Ringhofer
Number of Pages: 295 pages
Published Date: 23 Oct 2012
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
ISBN: 9781461264736
Download Link: Click Here
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