Multiscale Problems in Science and Technology

Challenges to Mathematical Analysis and Perspectives

Editors: Antonic, N., Duijn, C.J. van, Jäger, W., Mikelic, A. (Eds.)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-56200-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $159.00
price for USA
  • ISBN 978-3-540-43584-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The International conference on Multiscale problems in science and technol­ ogy; Challenges to mathematical analysis and applications brought together mathematicians working on multiscale techniques (homogenisation, singular perturbation) and specialists from applied sciences who use these techniques. Our idea was that mathematicians could contribute to solving problems in the emerging applied disciplines usually overlooked by them and that specialists from applied sciences could pose new challenges for multiscale problems. Numerous problems in natural sciences contain multiple scales: flows in complex heterogeneous media, many particles systems, composite media, etc. Mathematically, we are led to study of singular homogenisation limits and the procedure is called upscaling or homogenisation. The processes to be up­ scaled are usually described by differential equations. For simple cases, when the differential equation is linear and the heterogeneities are periodic some progress has been made. However, most natural phenomena are described by nonlinear differential equations in a random nonhomogeneous medium and, despite an intensive development in recent years, there are many open problems. The objective of the conference was to bring together leading special­ ists from Europe and the United States and to discuss new challenges in this quickly developing field. Topics of the conference were Nonlinear Partial Differential Equations and Applied Analysis, with direct applications to the modeling in Material Sciences, Petroleum Engineering and Hydrodynamics.

Table of contents (14 chapters)

  • Mathematical Tools for Studying Oscillations and Concentrations: from Young Measures to H-Measures and Their Variants

    Tartar, Luc

    Pages 1-84

  • Statistical Mechanics of Violent Relaxation in Stellar Systems

    Chavanis, Pierre-Henri

    Pages 85-116

  • On the Role of Interface Energies in the Description of Material Behavior

    Piero, Gianpietro

    Pages 117-128

  • Projection Generated Homogenization

    Engquist, Björn (et al.)

    Pages 129-150

  • Derivation of the Diphasic Biot’s Law for an Elastic Solid Matrix Containing Isolated Fluid Drops

    Clopeau, Thierry (et al.)

    Pages 151-160

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-56200-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $159.00
price for USA
  • ISBN 978-3-540-43584-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Multiscale Problems in Science and Technology
Book Subtitle
Challenges to Mathematical Analysis and Perspectives
Editors
  • Nenad Antonic
  • C.J. van Duijn
  • Willi Jäger
  • Andro Mikelic
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-56200-6
DOI
10.1007/978-3-642-56200-6
Softcover ISBN
978-3-540-43584-6
Edition Number
1
Number of Pages
XII, 316
Topics