Modeling and Simulation in Science, Engineering and Technology

Transport Phenomena and Kinetic Theory

Applications to Gases, Semiconductors, Photons, and Biological Systems

Editors: Cercignani, Carlo, Gabetta, Ester (Eds.)

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About this book

The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in many applications in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning.

The overall presentation covers not only modeling aspects and qualitative analysis of mathematical problems, but also inverse problems, which lead to a detailed assessment of models in connection with their applications, and to computational problems, which lead to an effective link of models to the analysis of real-world systems. The book is divided into three parts: Part I presents fundamental aspects of the Boltzmann equation; Part II deals with the modeling of semiconductor devices as well as related applications and computational topics; Part III covers a variety of applications in physics and the natural sciences, offering a range of very different conceivable developments of mathematical kinetic theory.

 

Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

 

Reviews

From the reviews:

"In this collection of articles by experts in the field the reader is given a rather comprehensive overview of many of the mathematical aspects and applications of the Boltzmann equation … . intended for scientists and engineers in the applied sciences, my own feeling is that investigators whose acquaintance with mathematics is at an advanced level are likely to be the main beneficiaries of this book. The presentation of the material is excellent, very well organized, and highly recommended to this audience." (L.S. García-Colín, Journal of Statistical Physics, Vol. 132, 2008)


Table of contents (11 chapters)

  • Rigorous results for conservation equations and trend to equilibrium in space-inhomogeneous kinetic theory

    Cercignani, Carlo

    Pages 3-17

  • Results on optimal rate of convergence to equilibrium for spatially homogeneous Maxwellian gases

    Gabetta, Ester

    Pages 19-37

  • Nonresonant velocity averaging and the Vlasov-Maxwell system

    Golse, François

    Pages 39-52

  • Multiband quantum transport models for semiconductor devices

    Barletti, Luigi (et al.)

    Pages 55-89

  • Optimization models for semiconductor dopant profiling

    Burger, Martin (et al.)

    Pages 91-115

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-8176-4554-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4489-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Transport Phenomena and Kinetic Theory
Book Subtitle
Applications to Gases, Semiconductors, Photons, and Biological Systems
Editors
  • Carlo Cercignani
  • Ester Gabetta
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4554-0
DOI
10.1007/978-0-8176-4554-0
Hardcover ISBN
978-0-8176-4489-5
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XIII, 271
Number of Illustrations and Tables
26 b/w illustrations
Topics