A generic incompressible flow is topological mixing

Bessa, Mário

http://hdl.handle.net/10400.2/13819

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
CRASP.pdf		145.21 KB	Adobe PDF	Download

Send Feedback

Authors

Bessa, Mário

Abstract(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.