[Existence locale et unicité de solutions de l'équation d'Euler hydrostatique dans un ouvert borné avec des données analytiques]
On étudie le caractère bien posé dans des espaces de fonctions analytiques de l'équation d'Euler hydrostatique pour un fluide incompressible (équations primitives non-visqueuses) sur des domaines à bords, avec une nouvelle condition de bord.
We address the question of well-posedness in spaces of analytic functions for the hydrostatic incompressible Euler equations (inviscid primitive equations) on domains with boundary, with a novel side-boundary condition.
Accepté le :
Publié le :
Igor Kukavica 1 ; Roger Temam 2 ; Vlad Vicol 1 ; Mohammed Ziane 1
@article{CRMATH_2010__348_11-12_639_0,
author = {Igor Kukavica and Roger Temam and Vlad Vicol and Mohammed Ziane},
title = {Existence and uniqueness of solutions for the hydrostatic {Euler} equations on a bounded domain with analytic data},
journal = {Comptes Rendus. Math\'ematique},
pages = {639--645},
publisher = {Elsevier},
volume = {348},
number = {11-12},
year = {2010},
doi = {10.1016/j.crma.2010.03.023},
language = {en},
}
TY - JOUR AU - Igor Kukavica AU - Roger Temam AU - Vlad Vicol AU - Mohammed Ziane TI - Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data JO - Comptes Rendus. Mathématique PY - 2010 SP - 639 EP - 645 VL - 348 IS - 11-12 PB - Elsevier DO - 10.1016/j.crma.2010.03.023 LA - en ID - CRMATH_2010__348_11-12_639_0 ER -
%0 Journal Article %A Igor Kukavica %A Roger Temam %A Vlad Vicol %A Mohammed Ziane %T Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data %J Comptes Rendus. Mathématique %D 2010 %P 639-645 %V 348 %N 11-12 %I Elsevier %R 10.1016/j.crma.2010.03.023 %G en %F CRMATH_2010__348_11-12_639_0
Igor Kukavica; Roger Temam; Vlad Vicol; Mohammed Ziane. Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data. Comptes Rendus. Mathématique, Volume 348 (2010) no. 11-12, pp. 639-645. doi : 10.1016/j.crma.2010.03.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.03.023/
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