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  • Conference proceedings
  • © 2004

Dispersive Transport Equations and Multiscale Models

Editors:

  1. Naoufel Ben Abdallah

    1. Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, France

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  2. Anton Arnold

    1. Angewandte Mathematik, Universität des Saarlandes, Saarbrucken, Germany

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  3. Pierre Degond

    1. Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, France

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  4. Irene M. Gamba

    1. Department of Mathematics, University of Texas at Austin, Austin, USA

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  5. Robert T. Glassey

    1. Department of Mathematics, Indiana University, Bloomington, USA

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  6. C. David Levermore

    1. CSCAMM, University of Maryland, College Park, USA

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  7. Christian Ringhofer

    1. Department of Mathematics, Arizona State University, Tempe, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 136)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-x
    PDF

  2. On the Derivation of Nonlinear Schrödinger and Vlasov Equations

    • Claude Bardos, François Golse, Alex Gottlieb, Norbert J. Mauser
    Pages 1-23

  3. Taking on the Multiscale Challenge

    • Leonard J. Borucki
    Pages 25-35

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

    • François Bouchut, François Golse, Christophe Pallard
    Pages 37-50

  5. Integrated Multiscale Process Simulation in Microelectronics

    • Timothy S. Cale, Max O. Bloomfield, David F. Richards, Sofiane Soukane, Kenneth E. Jansent, John A. Tichy et al.
    Pages 51-76

  11. Asymptotic Limits in Macroscopic Plasma Models

    • Ansgar Jüngel
    Pages 151-166

  12. A Landau-Zener Formula for Two-Scaled Wigner Measures

    • Clotilde Fermanian Kammerer, Patrick Gerard
    Pages 167-177

  13. Mesoscopic Modeling of Surface Processes

    • Markos A. Katsoulakis, Dionisios G. Vlachos
    Pages 179-198

  15. Feature-Scale to Wafer-Scale Modeling and Simulation of Physical Vapor Deposition

    • Peter L. O’Sullivan, Frieder H. Baumann, George H. Gilmer, Jacques Dalla Torre, Chan-Soo Shin, Ivan Petrov et al.
    Pages 219-236

  18. Magnetic Instability in a Collisionless Plasma

    • Walter A. Strauss
    Pages 281-286

  19. Back Matter

    Pages 287-295
    PDF
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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.
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Keywords

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Editors and Affiliations

  • Laboratoire MIP, Université Paul Sabatier, Toulouse Cedex 4, France

    Naoufel Ben Abdallah, Pierre Degond

  • Angewandte Mathematik, Universität des Saarlandes, Saarbrucken, Germany

    Anton Arnold

  • Department of Mathematics, University of Texas at Austin, Austin, USA

    Irene M. Gamba

  • Department of Mathematics, Indiana University, Bloomington, USA

    Robert T. Glassey

  • CSCAMM, University of Maryland, College Park, USA

    C. David Levermore

  • Department of Mathematics, Arizona State University, Tempe, USA

    Christian Ringhofer

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Bibliographic Information

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Access via your institution

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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