A global solution for the \(t^{\alpha }\)-type Navier-Stokes equations

DOI10.1016/J.NA.2010.01.024zbMath1185.35176OpenAlexW2064545695MaRDI QIDQ960910

Ziheng Tu, Jian Zhai

Publication date: 29 March 2010

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.2010.01.024

zbMATH Keywords

Navier-Stokes equationsBesov spacemild solutionlubrication\(t^{\alpha }\)-type viscosity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Lubrication theory (76D08) Navier-Stokes equations (35Q30) Applications of operator theory to differential and integral equations (47N20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

The decay rate and higher approximation of mild solutions to the Navier-Stokes equations ⋮ Strong \(L^p\)-solutions of the \(T^\alpha\)-type Navier-Stokes equation and the regularizing-decay rate estimation

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Uniqueness theorems for the three dimensional Navier-Stokes system
• On the Navier-Stokes initial value problem. I
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