Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

  • Ferruccio Colombini
  • Daniele Del Santo
  • David Lannes

Part of the Springer INdAM Series book series (SINDAMS, volume 17)

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.



Hyperbolic equations and systems Fluid mechanics Nolinear elasticity Geometric optics Planar detonations

Editors and affiliations

  • Ferruccio Colombini
    • 1
  • Daniele Del Santo
    • 2
  • David Lannes
    • 3
  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Dipartimento di Matematica e GeoscienzeUniversità di TriesteTriesteItaly
  3. 3.Institut de Mathématiques de BordeauxUniversité de Bordeaux - UMR5251TalenceFrance

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