Dispersive Transport Equations and Multiscale Models
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Beschreibung
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.
IMA Volumes 135 and 136 focus on mathematical and computational issues
involved in modeling processes that contain a wide range of length
scales over different spatio-temporal regimes.
The papers in these two volumes address applications such as
semiconductors, plasmas, fluids, chemically reactive gases, etc.
Autor*in
Ben Abdallah Naoufel
Themen in »Dispersive Transport Equations and Multiscale Models«
Cauchy problem bifurcation modeling plasma semiconductor semiconductor device simulation stability wave partial differential equations