Strong \(L^p\)-solutions of the \(T^\alpha\)-type Navier-Stokes equation and the regularizing-decay rate estimation

DOI10.1007/s00021-014-0173-6zbMath1308.35180OpenAlexW1991131316MaRDI QIDQ2257384

Jiayun Lin, Jian Zhai, Jian Xie, Ziheng Tu

Publication date: 25 February 2015

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-014-0173-6

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviormild solutionregularizing-decay rate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• The decay rate and higher approximation of mild solutions to the Navier-Stokes equations
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• A global solution for the \(t^{\alpha }\)-type Navier-Stokes equations
• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• On the spatial analyticity of solutions of the Navier-Stokes equations
• On the nonstationary Navier-Stokes systems
• Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
• A decay property of the Fourier transform and its application to the Stokes problem
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