Local well-posedness for the homogeneous Euler equations

DOI10.1016/j.na.2011.03.037zbMath1217.35140OpenAlexW2018735430MaRDI QIDQ540267

Xing-Ping Wu, Chun-Lei Tang, Xin Zhong

Publication date: 1 June 2011

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.2011.03.037

zbMATH Keywords

Euler equationsLittlewood-Paley decompositioncommutator estimatesTriebel-Lizorkin-Lorentz spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) 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 (1)

On Gagliardo-Nirenberg type inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the well-posedness of the quasi-geostrophic equation in the Triebel-Lizorkin-Lorentz spaces
• A discrete transform and decompositions of distribution spaces
• On the well-posedness of the ideal MHD equations in the Triebel-Lizorkin spaces
• Local well-posedness and regularity criterion for the density dependent incompressible Euler equations
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Hydrodynamics in Besov spaces
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Local well-posedness for the incompressible Euler equations in the critical Besov spaces.
• On the regularity of the trajectories of a perfect fluid
• Change of variables for absolutely continuous functions
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Vorticity and Incompressible Flow
• Euler Equations, Navier-Stokes Equations and Turbulence
• Commutator estimates and the euler and navier-stokes equations
• Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1
• 带密度的不可压Euler 方程在临界Besov 空间中的适定性
• On the Euler equations of incompressible fluids
• Incompressible flows of an ideal fluid with unbounded vorticity
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

This page was built for publication: Local well-posedness for the homogeneous Euler equations