Persistence of the incompressible Euler equations in a Besov space \(\mathbf B_{1,1}^{d+1}(\mathbb R^d)\)

DOI10.1186/1687-1847-2013-153zbMath1391.76059OpenAlexW1521975325WikidataQ59300244 ScholiaQ59300244MaRDI QIDQ1648685

Hee Chul Pak, Young Ja Park

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-153

zbMATH Keywords

uniquenesswell-posednessEuler equationsBesov spacesglobal existence

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

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On the theory of Besov-Herz spaces and Euler equations ⋮ Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces

Cites Work

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• Hydrodynamics in Besov spaces
• On the Euler equations in the critical Triebel-Lizorkin spaces
• Vorticity and Incompressible Flow
• Existence of Solution for the Euler Equations in a Critical Besov Space (ℝⁿ)
• Ill-posedness of the basic equations of fluid dynamics in Besov spaces