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Scaling Limits and Models in Physical Processes

  • Book
  • © 1998

Overview

Authors:
  1. Carlo Cercignani

    1. Department of Theoretical Mechanics, Politecnico di Milano, Milano, Italy

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    You can also search for this author in PubMed   Google Scholar

  2. David H. Sattinger

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Oberwolfach Seminars (OWS, volume 28)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-vi
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  2. Scaling and Mathematical Models in Kinetic Theory

    1. Front Matter

      Pages 1-1
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    2. Boltzmann Equation and Gas Surface Interaction

      • Carlo Cercignani, David H. Sattinger
      Pages 5-35

    3. Perturbation Methods for the Boltzmann Equation

      • Carlo Cercignani, David H. Sattinger
      Pages 37-86

  3. Scaling, Mathematical Modelling, & Integrable Systems

    1. Front Matter

      Pages 87-87
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    2. Dispersion

      • Carlo Cercignani, David H. Sattinger
      Pages 91-99

    3. The Nonlinear Schrödinger Equation

      • Carlo Cercignani, David H. Sattinger
      Pages 101-106

    4. The Korteweg-de Vries Equation

      • Carlo Cercignani, David H. Sattinger
      Pages 107-122

    5. Isospectral Deformations

      • Carlo Cercignani, David H. Sattinger
      Pages 123-130

    6. Inverse Scattering Theory

      • Carlo Cercignani, David H. Sattinger
      Pages 131-152

    7. Variational Methods

      • Carlo Cercignani, David H. Sattinger
      Pages 153-159

    8. Weak and Strong Nonlinearities

      • Carlo Cercignani, David H. Sattinger
      Pages 161-173

    9. Numerical Methods

      • Carlo Cercignani, David H. Sattinger
      Pages 175-185

  4. Back Matter

    Pages 186-194
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Keywords

Reviews

"...This is an excellent research monograph..."

--Zentralblatt Math

Authors and Affiliations

  • Department of Theoretical Mechanics, Politecnico di Milano, Milano, Italy

    Carlo Cercignani

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    David H. Sattinger

Bibliographic Information

  • Book Title: Scaling Limits and Models in Physical Processes

  • Authors: Carlo Cercignani, David H. Sattinger

  • Series Title: Oberwolfach Seminars

  • DOI: https://doi.org/10.1007/978-3-0348-8810-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Softcover ISBN: 978-3-7643-5985-0Published: 01 September 1998

  • eBook ISBN: 978-3-0348-8810-3Published: 06 December 2012

  • Series ISSN: 1661-237X

  • Series E-ISSN: 2296-5041

  • Edition Number: 1

  • Number of Pages: VI, 194

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Analysis, Mathematical Physics, Physics, general

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