Skip to main content
SpringerLink
Log in
Book cover

Nonlinear Partial Differential Equations

The Abel Symposium 2010

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Helge Holden

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Kenneth H. Karlsen

    1. Centre of Mathematics for Applications, University of Oslo, Oslo, Norway

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (16 papers)

  1. Front Matter

    Pages I-XVI
    Download chapter PDF

  2. Convergence of Wigner Transforms in a Semiclassical Limit

    • Luigi Ambrosio
    Pages 1-11

  3. Contractive Metrics for Nonsmooth Evolutions

    • Alberto Bressan
    Pages 13-35

  4. Non-local Diffusions, Drifts and Games

    • Luis Caffarelli
    Pages 37-52

  5. Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws

    • Gui-Qiang Chen, Ya-Guang Wang
    Pages 53-81

  6. h-Principle and Rigidity for C 1,α Isometric Embeddings

    • Sergio Conti, Camillo De Lellis, László Székelyhidi Jr.
    Pages 83-116

  7. About Existence, Symmetry and Symmetry Breaking for Extremal Functions of Some Interpolation Functional Inequalities

    • Jean Dolbeault, Maria J. Esteban
    Pages 117-130

  8. On the Oberbeck–Boussinesq Approximation on Unbounded Domains

    • Eduard Feireisl, Maria E. Schonbek
    Pages 131-168

  9. Universal Profiles and Rigidity Theorems for the Energy Critical Wave Equation

    • Carlos Kenig
    Pages 169-174

  10. A Simple Energy Pump for the Surface Quasi-geostrophic Equation

    • Alexander Kiselev, Fedor Nazarov
    Pages 175-179

  11. On the Formation of Trapped Surfaces

    • Sergiu Klainerman
    Pages 181-206

  12. Surface Relaxation Below the Roughening Temperature: Some Recent Progress and Open Questions

    • Robert V. Kohn
    Pages 207-221

  13. Climate Science, Waves and PDEs for the Tropics

    • Andrew J. Majda
    Pages 223-230

  14. On the Propagation of Oceanic Waves Driven by a Strong Macroscopic Flow

    • Isabelle Gallagher, Thierry Paul, Laure Saint-Raymond
    Pages 231-254

  15. Hierarchical Construction of Bounded Solutions of div U=F in Critical Regularity Spaces

    • Eitan Tadmor, Changhui Tan
    Pages 255-269

  16. Nonlinear Diffusion with Fractional Laplacian Operators

    • Juan Luis Vázquez
    Pages 271-298

  17. (Ir)reversibility and Entropy

    • Cédric Villani
    Pages 299-360
Back to top

Keywords

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

Publish with us

Policies and ethics

Back to top

Search

Navigation