Dans cette Note nous montrons qu'il existe une partie résiduelle dans l'ensemble des champs vectoriels qui préservent l'élément de volume pour laquelle tout est topologiquement mélangeant.
In this Note we prove that there exists a residual subset of the set of divergence-free vector fields defined on a compact, connected Riemannian manifold M, such that any vector field in this residual satisfies the following property: Given any two nonempty open subsets U and V of M, there exists such that for any .
Accepté le :
Publié le :
Mário Bessa 1
@article{CRMATH_2008__346_21-22_1169_0, author = {M\'ario Bessa}, title = {A generic incompressible flow is topological mixing}, journal = {Comptes Rendus. Math\'ematique}, pages = {1169--1174}, publisher = {Elsevier}, volume = {346}, number = {21-22}, year = {2008}, doi = {10.1016/j.crma.2008.07.012}, language = {en}, }
Mário Bessa. A generic incompressible flow is topological mixing. Comptes Rendus. Mathématique, Volume 346 (2008) no. 21-22, pp. 1169-1174. doi : 10.1016/j.crma.2008.07.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.07.012/
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