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arXiv · 1112.4132

Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow

Gianluca Crippa·Magali Lécureux-Mercier
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Abstract

In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local flow. We also give a stability result with respect to various parameters.

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Gianluca Crippa, Magali Lécureux-Mercier. 2011-12-18. Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow. https://arxiv.org/abs/1112.4132

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