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Local existence and blowup criterion of the Lagrangian averaged Euler equations in Besov spaces

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Publication:933147
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DOI10.3934/cpaa.2008.7.845zbMath1141.76011OpenAlexW2007977906MaRDI QIDQ933147

Houyu Jia, Xiao-Feng Liu

Publication date: 21 July 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2008.7.845


zbMATH Keywords

Bernstein inequalityHörmander multiplier theorem


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)


Related Items (4)

Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged Navier-Stokes-\(\alpha\) equation in \(\mathbb{R}^3\) ⋮ Incompressible Euler as a limit of complex fluid models with Navier boundary conditions ⋮ Local well-posedness and zero-α limit for the Euler-α equations ⋮ On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations




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