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  • Conference proceedings
  • © 2012

Nonlinear Partial Differential Equations

The Abel Symposium 2010

  • Cutting edge research by leading mathematicians
  • Area in rapid development worldwide
  • Many applications outside mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Abel Symposia (ABEL, volume 7)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-XVI
  2. Contractive Metrics for Nonsmooth Evolutions

    • Alberto Bressan
    Pages 13-35
  3. Non-local Diffusions, Drifts and Games

    • Luis Caffarelli
    Pages 37-52
  4. h-Principle and Rigidity for C 1,α Isometric Embeddings

    • Sergio Conti, Camillo De Lellis, László Székelyhidi Jr.
    Pages 83-116
  5. On the Oberbeck–Boussinesq Approximation on Unbounded Domains

    • Eduard Feireisl, Maria E. Schonbek
    Pages 131-168
  6. A Simple Energy Pump for the Surface Quasi-geostrophic Equation

    • Alexander Kiselev, Fedor Nazarov
    Pages 175-179
  7. On the Formation of Trapped Surfaces

    • Sergiu Klainerman
    Pages 181-206
  8. Climate Science, Waves and PDEs for the Tropics

    • Andrew J. Majda
    Pages 223-230
  9. On the Propagation of Oceanic Waves Driven by a Strong Macroscopic Flow

    • Isabelle Gallagher, Thierry Paul, Laure Saint-Raymond
    Pages 231-254
  10. Nonlinear Diffusion with Fractional Laplacian Operators

    • Juan Luis Vázquez
    Pages 271-298
  11. (Ir)reversibility and Entropy

    • Cédric Villani
    Pages 299-360

About this book

The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering.

This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used to model phenomena of increasing complexity, and in areas that have traditionally been outside the realm of mathematics. New analytical tools and numerical methods are dramatically improving our understanding of nonlinear models. Nonlinearity gives rise to novel effects reflected in the appearance of shock waves, turbulence, material defects, etc., and offers challenging mathematical problems. On the other hand, new mathematical developments provide new insight in many applications.

These proceedings present a selection of the latest exciting results by world leading researchers.

Editors and Affiliations

  • of Science and Technology, Dept. of Mathematics, Norwegian University, Trondheim, Norway

    Helge Holden

  • Centre of Mathematics for Applications, University of Oslo, Oslo, Norway

    Kenneth H. Karlsen

Bibliographic Information

  • Book Title: Nonlinear Partial Differential Equations

  • Book Subtitle: The Abel Symposium 2010

  • Editors: Helge Holden, Kenneth H. Karlsen

  • Series Title: Abel Symposia

  • DOI: https://doi.org/10.1007/978-3-642-25361-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2012

  • Hardcover ISBN: 978-3-642-25360-7Published: 15 January 2012

  • Softcover ISBN: 978-3-642-44163-9Published: 22 February 2014

  • eBook ISBN: 978-3-642-25361-4Published: 14 January 2012

  • Series ISSN: 2193-2808

  • Series E-ISSN: 2197-8549

  • Edition Number: 1

  • Number of Pages: XVI, 360

  • Topics: Partial Differential Equations, Mathematical Methods in Physics

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access