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Erschienen in:
Amplitude Equations for Weakly Nonlinear Surface Waves in Variational Problems Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

A Microscopic Point of View on Singularities in Fluid Models

verfasst von : Laure Saint-Raymond

Erschienen in: Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

Verlag: Springer International Publishing

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Abstract

These lecture notes present some challenging problems regarding the multiscale analysis of some systems exhibiting singularities at the macroscopic scale. We are interested namely in shocks for the compressible Euler equations in 1D, vortex sheets for the incompressible Euler equations in 2D, and spatial concentrations for the Boltzmann equation. We would like to obtain a microscopic description of these singularities, and to understand whether the scale separation is relevant.

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Vorheriges Kapitel Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators
Nächstes Kapitel Geometric Optics for Rayleigh Pulses in Nonlinear Elasticity
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Metadaten
Titel
A Microscopic Point of View on Singularities in Fluid Models
verfasst von
Laure Saint-Raymond
Copyright-Jahr
2017
Buch
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

Print ISBN: 978-3-319-52041-4

Electronic ISBN: 978-3-319-52042-1

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-52042-1_9

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