Comptes Rendus
no. 8
Ordinary differential equations/Dynamical systems
The flowbox theorem for divergence-free Lipschitz vector fields
[Le théorème du flot tubulaire pour les champs vectoriels Lipschitz à divergence nulle]

Présenté par : the Editorial Board

Mário Bessa1
1 Universidade da Beira Interior, Rua Marquês d'Ávila e Bolama, 6201-001 Covilhã, Portugal
Comptes Rendus. Mathématique, Volume 355 (2017) no. 8, pp. 881-886.

Dans cette note, nous prouvons le théorème du flot tubulaire pour les champs vectoriels Lipschitz à divergence nulle.

In this note, we prove the flowbox theorem for divergence-free Lipschitz vector fields.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.07.006

Mário Bessa 1

1 Universidade da Beira Interior, Rua Marquês d'Ávila e Bolama, 6201-001 Covilhã, Portugal 
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Mário Bessa. The flowbox theorem for divergence-free Lipschitz vector fields. Comptes Rendus. Mathématique, Volume 355 (2017) no. 8, pp. 881-886. doi : 10.1016/j.crma.2017.07.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.07.006/

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  • Mário Bessa Lyapunov exponents and entropy for divergence-free Lipschitz vector fields, European Journal of Mathematics, Volume 9 (2023) no. 2, p. 33 (Id/No 20) | DOI:10.1007/s40879-023-00611-6 | Zbl:1525.37029
  • Mário Bessa; Maria Joana Torres; Paulo Varandas Topological aspects of incompressible flows, Journal of Differential Equations, Volume 293 (2021), pp. 392-417 | DOI:10.1016/j.jde.2021.05.030 | Zbl:1476.37030
  • Mário Bessa; Maria Joana Torres; Paulo Varandas On the periodic orbits, shadowing and strong transitivity of continuous flows, Nonlinear Analysis. Theory, Methods Applications. Series A: Theory and Methods, Volume 175 (2018), pp. 191-209 | DOI:10.1016/j.na.2018.06.002 | Zbl:1404.53111

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