arXiv:1611.05928 Abstract | arXiv Analytics

arXiv:1611.05928 [math.AP]Abstract References Reviews Resources

Flows generated by divergence free vector fields with compact support

Published 2016-11-17Version 1

We are concerned with the theory of existence and uniqueness of flows generated by divergence free vector fields with compact support. Hence, assuming that the velocity vector fields are measurable, bounded, and the flows in the Euclidean space are measure preserving, we show two counterexamples of uniqueness/existence for such flows. First we consider the autonomous case in dimension 3, and then, the non autonomous one in dimension 2.

Comments: 32 pages

Categories: math.AP

Keywords: divergence free vector fields, compact support, velocity vector fields, euclidean space, uniqueness

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