The IMA Volumes in Mathematics and its Applications

Dispersive Transport Equations and Multiscale Models

Editors: Naoufel, B.A., Arnold, A., Degond, P., Gamba, I.M., Glassey, R.T., Levermore, C.D., Ringhofer, C. (Eds.)

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About this book

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.

Table of contents (17 chapters)

  • On the Derivation of Nonlinear Schrödinger and Vlasov Equations

    Bardos, Claude (et al.)

    Pages 1-23

  • Taking on the Multiscale Challenge

    Borucki, Leonard J.

    Pages 25-35

  • Nonresonant Smoothing for Coupled Wave + Transport Equations and the Vlasov-Maxwell System

    Bouchut, François (et al.)

    Pages 37-50

  • Integrated Multiscale Process Simulation in Microelectronics

    Cale, Timothy S. (et al.)

    Pages 51-76

  • Constitutive Relations for Viscoleastic Fluid Models Derived from Kinetic Theory

    Degond, P. (et al.)

    Pages 77-89

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-1-4419-8935-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-1-4612-6473-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dispersive Transport Equations and Multiscale Models
Editors
  • Ben Abdallah Naoufel
  • Anton Arnold
  • Pierre Degond
  • Irene M. Gamba
  • Robert T. Glassey
  • C. David Levermore
  • Christian Ringhofer
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
136
Copyright
2004
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4419-8935-2
DOI
10.1007/978-1-4419-8935-2
Softcover ISBN
978-1-4612-6473-6
Series ISSN
0940-6573
Edition Number
1
Number of Pages
X, 295
Topics