Work

Flows generated by divergence free vector fields with compact support

Year: 2016

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1611.05928

Authors: Kneuss, Olivier, Neves, Wladimir

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2550119823

Cites: 5

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Related to: 10