The IMA Volumes in Mathematics and its Applications

Transport in Transition Regimes

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 wide 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 (18 chapters)

  • BGK-Burnett Equations: A New Set of Second-Order Hydrodynamic Equations for Flows in Continuum-Transition Regime

    Agarwal, Ramesh K.

    Pages 1-35

  • Steady States for Streater’s Energy-Transport Models of Self-Gravitating Particles

    Biler, Piotr (et al.)

    Pages 37-56

  • Towards a Hybrid Monte Carlo Method for Rarefied Gas Dynamics

    Caflisch, Russel E. (et al.)

    Pages 57-73

  • Comparison of Monte Carlo and Deterministic Simulations of a Silicon Diode

    Carrillo, Jose A. (et al.)

    Pages 75-84

  • Discrete-Velocity Models for Numerical Simulations in Transitional Regime for Rarefied Flows and Radiative Transfer

    Charrier, Pierre (et al.)

    Pages 85-101

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-1-4613-0017-5
  • 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 978-1-4612-6507-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Transport in Transition Regimes
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
135
Copyright
2004
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4613-0017-5
DOI
10.1007/978-1-4613-0017-5
Softcover ISBN
978-1-4612-6507-8
Series ISSN
0940-6573
Edition Number
1
Number of Pages
X, 301
Topics