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Dispersive Transport Equations and Multiscale Models (Paperback, Softcover reprint of the original 1st ed. 2004)
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Dispersive Transport Equations and Multiscale Models (Paperback, Softcover reprint of the original 1st ed. 2004)
Series: The IMA Volumes in Mathematics and its Applications, 136
Expected to ship within 10 - 15 working days
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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 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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