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A generic incompressible flow is topological mixing
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Resumo(s)
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 τ ∈R such that X^t(U)∩V is non-empty for any t >=τ.
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Contexto Educativo
Citação
M. Bessa, A generic incompressible flow is topological mixing, C. R. Acad. Sci. Paris, Ser. I 346 (2008)
Editora
Elsevier