hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	AARACH, Nacer
hal.structure.identifier	Laboratoire de Mathématiques Raphaël Salem [LMRS]
dc.contributor.author	NGO, Van-Sang
dc.date.accessioned	2024-04-04T02:51:54Z
dc.date.available	2024-04-04T02:51:54Z
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/192013
dc.description.abstractEn	We prove the global wellposedness of the 2D non-rotating primitive equations with no-slip boundary conditions in a thin strip of width ε for small data which are analytic in the tangential direction. We also prove that the hydrostatic limit (when ε → 0) is a couple of a Prandtl-like system for the velocity with a transport-diffusion equation for the temperature.
dc.language.iso	en
dc.title.en	Hydrostatic approximation of the 2D primitive equations in a thin strip
dc.type	Document de travail - Pré-publication
dc.identifier.doi	10.48550/arXiv.2006.16025
dc.subject.hal	Mathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-02883890
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-02883890v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AARACH,%20Nacer&NGO,%20Van-Sang&rft.genre=preprint

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Hydrostatic approximation of the 2D primitive equations in a thin strip