Nonlinear Partial Differential Equations
The Abel Symposium 2010
Editors: Holden, Helge, Karlsen, Kenneth H. (Eds.)
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- About this book
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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.
- Table of contents (16 chapters)
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Convergence of Wigner Transforms in a Semiclassical Limit
Pages 1-11
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Contractive Metrics for Nonsmooth Evolutions
Pages 13-35
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Non-local Diffusions, Drifts and Games
Pages 37-52
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Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws
Pages 53-81
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h-Principle and Rigidity for C 1,α Isometric Embeddings
Pages 83-116
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Table of contents (16 chapters)
- Download Preface 1 PDF (63.8 KB)
- Download Sample pages 5 PDF (514.7 KB)
- Download Table of contents PDF (134.1 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Nonlinear Partial Differential Equations
- Book Subtitle
- The Abel Symposium 2010
- Editors
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- Helge Holden
- Kenneth H. Karlsen
- Series Title
- Abel Symposia
- Series Volume
- 7
- Copyright
- 2012
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-25361-4
- DOI
- 10.1007/978-3-642-25361-4
- Hardcover ISBN
- 978-3-642-25360-7
- Softcover ISBN
- 978-3-642-44163-9
- Series ISSN
- 2193-2808
- Edition Number
- 1
- Number of Pages
- XVI, 360
- Topics
