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Springer INdAM Series

Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

Editors: Colombini, Ferruccio, Del Santo, Daniele, Lannes, David (Eds.)

  • Includes a number of original contributions to the study of linear and non-linear Hyperbolic PDE's
  • Provides a comprehensive, detailed review of singularities in fluid models and a survey on recent developments in detonation theory
  • Offers new ideas on several topics, like geometric optics, elasticity, planar detonations, solvability for PDE's and Weyl's formula for eigenvalues
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eBook $84.99
price for USA (gross)
  • ISBN 978-3-319-52042-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-52041-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields.

 

About the authors

Ferruccio Colombini has been a Professor of Mathematical Analysis at the University of Pisa since 1986. His main interests are the theory of linear and nonlinear hyperbolic PDE's.

Daniele Del Santo is Professor of Mathematical Analysis at the University of Trieste. He works in the field of hyperbolic and parabolic operators with non-smooth coefficients.

David Lannes is CNRS Research Director at the Institut de Mathématiques de Bordeaux. He works on nonlinear PDEs and has a strong interest in applications to oceanography.

 

Table of contents (11 chapters)

  • Amplitude Equations for Weakly Nonlinear Surface Waves in Variational Problems

    Benzoni-Gavage, Sylvie (et al.)

    Pages 1-32

  • Global Weak Solutions of PDEs for Compressible Media: A Compactness Criterion to Cover New Physical Situations

    Bresch, Didier (et al.)

    Pages 33-54

  • Second Microlocalization and Stabilization of Damped Wave Equations on Tori

    Burq, Nicolas

    Pages 55-73

  • A Few Remarks on Hyperbolic Systems with Zygmund in Time Coefficients

    Fanelli, Francesco

    Pages 75-102

  • Wellposedness of Linearized Taylor Equations in Magnetohydrodynamics

    Gallagher, Isabelle (et al.)

    Pages 103-140

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-319-52042-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-52041-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics
Editors
  • Ferruccio Colombini
  • Daniele Del Santo
  • David Lannes
Series Title
Springer INdAM Series
Series Volume
17
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-52042-1
DOI
10.1007/978-3-319-52042-1
Hardcover ISBN
978-3-319-52041-4
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XII, 308
Number of Illustrations and Tables
2 b/w illustrations, 15 illustrations in colour
Topics