Nonlinear Partial Differential Equations

The Abel Symposium 2010

  • Helge Holden
  • Kenneth H. Karlsen
Conference proceedings

DOI: 10.1007/978-3-642-25361-4

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

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Alberto Bressan
    Pages 13-35
  3. Luis Caffarelli
    Pages 37-52
  4. Sergio Conti, Camillo De Lellis, László Székelyhidi Jr.
    Pages 83-116
  5. Eduard Feireisl, Maria E. Schonbek
    Pages 131-168
  6. Alexander Kiselev, Fedor Nazarov
    Pages 175-179
  7. Sergiu Klainerman
    Pages 181-206
  8. Andrew J. Majda
    Pages 223-230
  9. Isabelle Gallagher, Thierry Paul, Laure Saint-Raymond
    Pages 231-254
  10. Cédric Villani
    Pages 299-360

About these proceedings

Introduction

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.

Keywords

nonlinearity partial differential equations

Editors and affiliations

  • Helge Holden
    • 1
  • Kenneth H. Karlsen
    • 2
  1. 1.of Science and Technology, Dept. of MathematicsNorwegian UniversityTrondheimNorway
  2. 2.Centre of Mathematics for ApplicationsUniversity of OsloOsloNorway

Bibliographic information

  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-25360-7
  • Online ISBN 978-3-642-25361-4
  • Series Print ISSN 2193-2808