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Analysis and Numerics for Conservation Laws

Editors: Warnecke, Gerald (Ed.)

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  • ISBN 978-3-540-27907-5
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About this book

Whatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics.

Table of contents (2 chapters)

  • Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions

    Wolfgang Dahmen, Siegfried Müller, Alexander Voß

    Pages 137-162

  • Kinetic Schemes for Selected Initial and Boundary Value Problems

    Wolfgang Dreyer, Michael Herrmann, Matthias Kunik, Shamsul Qamar

    Pages 203-232

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-540-27907-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-540-24834-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-3-642-42421-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analysis and Numerics for Conservation Laws
Editors
  • Gerald Warnecke
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-27907-5
DOI
10.1007/3-540-27907-5
Hardcover ISBN
978-3-540-24834-7
Softcover ISBN
978-3-642-42421-2
Edition Number
1
Number of Pages
X, 542
Topics