Vorticity, Rotation and Symmetry (V) – Global Results and Nonlocal Phenomena / Vorticité, rotation et symétrie (V) – Résultats globaux et phénomènes non locaux

Collection Vorticity, Rotation and Symmetry (V) – Global Results and Nonlocal Phenomena / Vorticité, rotation et symétrie (V) – Résultats globaux et phénomènes non locaux

Organizer(s) Danchin, Raphaël ; Farwig, Reinhard ; Necasova, Sarka ; Neustupa, Jiri

Date(s) 26/10/2020 - 30/10/2020

linked URL https://conferences.cirm-math.fr/2166.html

00:00:00 / 00:00:00

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Compressible Euler equations under a maximal density constraint

By Charlotte Perrin

In this talk, I will present recent results on solutions to a one-dimensional Euler system coupling compressible and incompressible phases. With this original fluid system we intend to model congestion (or saturation) phenomena in heterogeneous flows (mixtures, wave-structure interactions, collective motion, etc.). Here the compressible-incompressible model will be seen as the limit of a fully compressible Euler system endowed with a singular pressure law. The goal of the talk is to present theoretical results concerning this singular limit. This is a joint work with Roberta Bianchini.

Information about the video

Date of recording 27/10/2020
Date of publication 10/11/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19678803
Cite this video Perrin, Charlotte (27/10/2020). Compressible Euler equations under a maximal density constraint. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19678803
URL https://dx.doi.org/10.24350/CIRM.V.19678803

Domain(s)

Analysis of PDEs

Bibliography

BIANCHINI, Roberta et PERRIN, Charlotte. Soft congestion approximation to the one-dimensional constrained Euler equations. arXiv preprint arXiv:2005.13214, 2020. - https://arxiv.org/abs/2005.13214

MSC codes

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