a by INC., Naoufel Ben-Abdallah, Institute of Mathematics and Its Applications, Simulation of transport in transition regimes (Workshop), Multiscale models for surface evolution and reacting flows (Workshop), Reactive flow and transport phenomena (Program) ISBN 9780387404967, 0387404961 instant download

a by INC., Naoufel Ben-Abdallah, Institute of Mathematics and Its Applications, Simulation of transport in transition regimes (Workshop), Multiscale models for surface evolution and reacting flows (Workshop), Reactive flow and transport phenomena (Program) ISBN 9780387404967, 0387404961 instant download

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, shastic, 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 modelling 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 and more. In this work we give a survey of the derivation of nonlinear 1-particle Schrödinger and Vlasov equations starting from the linear N-particle Schrödinger equation.