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arXiv · 1802.05963

Continuous dependence of the pressure field with respect to endpoints for ideal incompressible fluids

Aymeric Baradat
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Abstract

In the Brenier variational model for perfect fluids, the datum is the joint law of the initial and final positions of the particles. In this paper, we show that both the optimal action and the pressure field are H\"older continuous with respect to this datum metrized in Monge-Kantorovic distance.

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Aymeric Baradat. 2018-02-16. Continuous dependence of the pressure field with respect to endpoints for ideal incompressible fluids. https://arxiv.org/abs/1802.05963

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