Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions

In this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3). On the other hand, the relationship between the Hs{H}^{s}-nor...

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Autori principali:	Yuan Shaoliang, Huang Lehui, Cheng Lin, You Xiaoguang
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	De Gruyter 2024-11-01
Serie:	Open Mathematics
Soggetti:	non-newtonian fluids well-posedness for pdes euler-α equations euler equations 35a01 35d35 35q35
Accesso online:	https://doi.org/10.1515/math-2024-0077
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