The Lagrangian averaged Euler equations as the short-time inviscid limit of the Navier-Stokes equations with Besov class data in \(\mathbb{R}^2\)

DOI10.3934/cpaa.2002.1.221zbMath1014.35076OpenAlexW2015591644MaRDI QIDQ1848480

Marcel Oliver

Publication date: 13 July 2003

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

Full work available at URL: https://doi.org/10.3934/cpaa.2002.1.221

zbMATH Keywords

vorticityEuler equationNavier-Stokes equation\(L^2\) convergenceBesov class of regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Euler-Poisson-Darboux equations (35Q05)

Related Items

Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces ⋮ On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations ⋮ On the global well-posedness of the Euler-Boussinesq system with fractional dissipation

This page was built for publication: The Lagrangian averaged Euler equations as the short-time inviscid limit of the Navier-Stokes equations with Besov class data in \(\mathbb{R}^2\)