A note on the blowup criterion of the Lagrangian averaged Euler equations

DOI10.1016/j.na.2006.08.051zbMath1123.35039OpenAlexW2046234008MaRDI QIDQ2372168

Meng Wang, Zhifei Zhang, Xiao-Feng Liu

Publication date: 25 July 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.08.051

zbMATH Keywords

local existenceglobal existence3D Lagrangian averaged Euler equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Euler-Poisson-Darboux equations (35Q05)

Related Items (1)

Incompressible Euler as a limit of complex fluid models with Navier boundary conditions

Cites Work

• Direct numerical simulations of the Navier-Stokes alpha model
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• On Global Well‐Posedness of the Lagrangian Averaged Euler Equations
• A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
• Commutator estimates and the euler and navier-stokes equations
• An integrable shallow water equation with peaked solitons
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

This page was built for publication: A note on the blowup criterion of the Lagrangian averaged Euler equations