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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Main Authors: | Yuan Shaoliang, Huang Lehui, Cheng Lin, You Xiaoguang |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2024-11-01
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Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2024-0077 |
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