Regularity of the Koch-Tataru solutions to Navier-Stokes system

DOI10.1007/s11425-011-4344-0zbMath1238.35091OpenAlexW2034874833MaRDI QIDQ424265

Ping Zhang, Ting Zhang

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4344-0

zbMATH Keywords

trajectoriesNavier-Stokes equationsLittlewood-Paley theory

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (8)

Log-Lipschitz regularity of the 3D Navier-Stokes equations ⋮ About local continuity with respect to \(L_2\) initial data for energy solutions of the Navier-Stokes equations ⋮ Nonlinear instability for nonhomogeneous incompressible viscous fluids ⋮ The Peskin Problem with \({\boldsymbol{\dot B^1_{\infty,\infty }}}\) Initial Data ⋮ Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction ⋮ Space-time regularity of the \textit{mild} solutions to the incompressible generalized Navier-Stokes equations with small rough initial data ⋮ Space-time regularity for the three dimensional Navier-Stokes and MHD equations ⋮ Space-time derivative estimates of the Koch-Tataru solutions to the nematic liquid crystal system in Besov spaces

Cites Work

• Uniqueness theorems for the three dimensional Navier-Stokes system
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• On the Navier-Stokes initial value problem. I
• Fourier Analysis and Nonlinear Partial Differential Equations
• Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1
• Well-posedness for the Navier-Stokes equations
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