On the analyticity and the almost periodicity of the solution to the Euler equations with non-decaying initial velocity

DOI10.1016/j.jfa.2010.12.011zbMath1210.35183OpenAlexW1988931318MaRDI QIDQ630803

Okihiro Sawada, Ryo Takada

Publication date: 21 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.12.011

zbMATH Keywords

Euler equationsanalyticityalmost periodicitynon-decaying initial velocity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Almost and pseudo-almost periodic solutions to PDEs (35B15) Series solutions to PDEs (35C10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (5)

Multi-dimensional almost automorphic type functions and applications ⋮ Spatially quasi-periodic solutions of the Euler equation ⋮ On the theory of Besov-Herz spaces and Euler equations ⋮ Remarks on shear flows of the Euler equations ⋮ Metrical almost periodicity and applications

Cites Work

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• On the two-dimensional Euler equations with spatially almost periodic initial data
• Propagation de l'analyticité des solutions de systèmes hyperboliques non-linéaires
• Propagation de l'analyticité locale pour les solutions de l'équation d'Euler. (Propagation of local analyticity for the solutions of the Euler equation)
• On the spatial analyticity of solutions of the Navier-Stokes equations
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Existence of Solution for the Euler Equations in a Critical Besov Space (ℝⁿ)
• On the radius of analyticity of solutions to the three-dimensional Euler equations
• Commutator estimates and the euler and navier-stokes equations

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