On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion

DOI10.3934/cpaa.2012.11.1809zbMath1322.35111OpenAlexW2334639434MaRDI QIDQ1948007

Xinwei Yu, Zhichun Zhai

Publication date: 30 April 2013

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

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1809

zbMATH Keywords

Triebel-Lizorkin spacesEuler equationsglobal existencelevel setsvortex patch

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (4)

Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity ⋮ Global well-posedness for fractional Navier-Stokes equations in variable exponent Fourier-Besov-Morrey spaces ⋮ Local well-posedness and zero-α limit for the Euler-α equations ⋮ Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise

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