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The IMA Volumes in Mathematics and its Applications

Nonlinear Conservation Laws and Applications

Editors: Bressan, A., Chen, G.-Q.G., Lewicka, M., Wang, D. (Eds.)

  • Provides a comprehensive account of recent developments
  • Contains contributions from the main lecturers
  • Provides a timely survey of the state of the art in the exciting field of conservation laws
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eBook $189.00
price for USA (gross)
  • ISBN 978-1-4419-9554-4
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  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-1-4419-9553-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-1-4614-2870-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 130-31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems.

 

Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of one-dimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients.

 

In addition, there are a number of papers devoted to applications. These include: models of blood flow, self-gravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks.

Table of contents (27 chapters)

  • Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws

    Bressan, Alberto

    Pages 1-22

  • Multidimensional Conservation Laws: Overview, Problems, and Perspective

    Chen, Gui-Qiang G.

    Pages 23-72

  • Mathematical Analysis of Fluids in Motion

    Feireisl, Eduard

    Pages 73-100

  • Selected Topics in Approximate Solutions of Nonlinear Conservation Laws. High-Resolution Central Schemes

    Tadmor, Eitan

    Pages 101-122

  • Stability and Dynamics of Viscous Shock Waves

    Zumbrun, Kevin

    Pages 123-167

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-1-4419-9554-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-1-4419-9553-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-1-4614-2870-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Conservation Laws and Applications
Editors
  • Alberto Bressan
  • Gui-Quiang G. Chen
  • Marta Lewicka
  • Dehua Wang
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
153
Copyright
2011
Publisher
Springer US
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-9554-4
DOI
10.1007/978-1-4419-9554-4
Hardcover ISBN
978-1-4419-9553-7
Softcover ISBN
978-1-4614-2870-1
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XIII, 491
Topics