The decay rates of strong solutions for Navier-Stokes equations

DOI10.1006/jmaa.2000.7147zbMath1027.35093OpenAlexW1992313622MaRDI QIDQ1604252

Cheng He, Ling Hsiao

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7147

zbMATH Keywords

existencefundamental solutiondecay rateheat equationsglobal strong solutionsNavier Stokes equations\(L^q\) strong solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (5)

The decay rate and higher approximation of mild solutions to the Navier-Stokes equations ⋮ Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains ⋮ Time decay rates of the isotropic non-Newtonian flows in \(\mathbb R^{n}\) ⋮ Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ⋮ Time decay rates of the \(L^3\)-norm for strong solutions to the Navier-Stokes equations in \(\mathbb{R}^3\)

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• The Cauchy problem for Navier-Stokes equations
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• Structure of the set of stationary solutions of the navier‐stokes equations
• Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
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