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arXiv · 2102.07410

Brenier-Schr{\"o}dinger problem on compact manifold with boundary

David García-Zelada·Baptiste Huguet
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Abstract

We consider the Brenier-Schr{\"o}dinger problem on compact manifolds with boundary. In the spirit of a work by Arnaudon, Cruzeiro, L{\'e}onard and Zambrini, we study the kinetic property of regular solutions and obtain a link to the Navier-Stokes equations with an impermeability condition. We also enhance the class of models for which the problem admits a unique solution. This involves a method of taking quotients by reflection groups for which we give several examples.

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David García-Zelada, Baptiste Huguet. 2021-02-15. Brenier-Schr{\"o}dinger problem on compact manifold with boundary. https://arxiv.org/abs/2102.07410

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