Editors:
- 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
Part of the book series: Springer INdAM Series (SINDAMS, volume 17)
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Table of contents (11 chapters)
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Front Matter
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.
Editors and Affiliations
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Dipartimento di Matematica, Università di Pisa, Pisa, Italy
Ferruccio Colombini
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Dipartimento di Matematica e Geoscienze, Università di Trieste, Trieste, Italy
Daniele Del Santo
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Institut de Mathématiques de Bordeaux, Université de Bordeaux - UMR5251, Talence, France
David Lannes
About the editors
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.
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
DOI: https://doi.org/10.1007/978-3-319-52042-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-52041-4Published: 04 May 2017
Softcover ISBN: 978-3-319-84804-4Published: 08 May 2018
eBook ISBN: 978-3-319-52042-1Published: 25 April 2017
Series ISSN: 2281-518X
Series E-ISSN: 2281-5198
Edition Number: 1
Number of Pages: XII, 308
Number of Illustrations: 2 b/w illustrations, 15 illustrations in colour
Topics: Partial Differential Equations, Fourier Analysis, Mathematical Physics, Applications of Mathematics