Brenier-Schrödinger problem on compact manifold with boundary
| hal.structure.identifier | Institut de Mathématiques de Marseille [I2M] | |
| hal.structure.identifier | Laboratoire de Probabilités, Statistique et Modélisation [LPSM (UMR_8001)] | |
| dc.contributor.author | GARCÍA-ZELADA, David | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HUGUET, Baptiste | |
| dc.date.accessioned | 2024-04-04T02:47:17Z | |
| dc.date.available | 2024-04-04T02:47:17Z | |
| dc.date.issued | 2021-05-18 | |
| dc.identifier.issn | 0736-2994 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191627 | |
| dc.description.abstractEn | We consider the Brenier-Schrödinger problem on compact manifolds with boundary. In the spirit of a work by Arnaudon, Cruzeiro, Léonard 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. | |
| dc.language.iso | en | |
| dc.publisher | Taylor & Francis: STM, Behavioural Science and Public Health Titles | |
| dc.subject.en | Brenier-Schrödinger | |
| dc.subject.en | entropy | |
| dc.subject.en | manifold with boundary | |
| dc.subject.en | reflected Brownian motion | |
| dc.subject.en | Navier-Stokes equations | |
| dc.title.en | Brenier-Schrödinger problem on compact manifold with boundary | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 2102.07410 | |
| bordeaux.journal | Stochastic Analysis and Applications | |
| bordeaux.volume | 40 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03140519 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03140519v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Stochastic%20Analysis%20and%20Applications&rft.date=2021-05-18&rft.volume=40&rft.issue=3&rft.eissn=0736-2994&rft.issn=0736-2994&rft.au=GARC%C3%8DA-ZELADA,%20David&HUGUET,%20Baptiste&rft.genre=article |
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