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Pré-Publication, Document De Travail Année : 2009

A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields

Maxime Hauray

Résumé

We provide in this article a new proof of the uniqueness of the flow solution to ordinary differential equations with BV vector-fields that have uniformly bounded divergence (or with divergence in L1 and nearly incompressible flow, see the text for the definition of this term). The novelty of the proof lies in the fact it does not use the associated transport equation.

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Dates et versions

hal-00391998 , version 1 (05-06-2009)

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  • HAL Id : hal-00391998 , version 1

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Maxime Hauray. A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields. 2009. ⟨hal-00391998⟩
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