Temporal decays in \(L^1\) and \(L^{\infty}\) for the Stokes flow

DOI10.1016/j.jde.2005.01.001zbMath1091.35055OpenAlexW2036555649MaRDI QIDQ818443

Hyeong-Ohk Bae

Publication date: 20 March 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.01.001

zbMATH Keywords

Hardy spaceincompressible Stokes flowtemporal decay in half spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (22)

Pointwise decay estimate of Navier-Stokes flows in the half space with slowly decreasing initial value ⋮ Temporal-spatial decays for the Stokes flows in half spaces ⋮ Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains ⋮ Weighted decay results for the nonstationary Stokes flow and Navier-Stokes equations in half spaces ⋮ Large time behavior for the nonstationary Navier-Stokes flows in the half-space ⋮ The exponential decay of solutions to the nonstationary magneto‐hydrodynamic equations ⋮ Algebraic \(L^2\) decay for weak solutions of a viscous Boussinesq system in exterior domains ⋮ Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space ⋮ Long-time behavior for the nonstationary Navier-Stokes flows in \(L^1(\mathbb R_+^n)\) ⋮ Decay results of the nonstationary Navier-Stokes flows in half-spaces ⋮ Decay properties of solutions to the non-stationary magneto-hydrodynamic equations in half spaces ⋮ Long time \(L^{1}\)-behavior for the incompressible magneto-hydrodynamic equations in a half-space ⋮ Notes on the space-time decay rate of the Stokes flows in the half space ⋮ Decay results of higher-order norms for the Navier-Stokes flows in 3D exterior domains ⋮ Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces ⋮ Two and three positive solutions of m-point boundary value problems for functional dynamic equations on time scales ⋮ Spatial and temporal decay estimate of the Stokes flow of weighted \(L^1\) initial data in the half space ⋮ Temporal and spatial decays for the Navier-Stokes equations ⋮ On weighted estimates for the Stokes flows, with application to the Navier-Stokes equations ⋮ Asymptotic behavior of solutions to the nonstationary magneto-hydrodynamic equations ⋮ Weighted \(L^q-L^1\) estimate of the Stokes flow in the half space ⋮ Decay estimates on Besov and Triebel-Lizorkin spaces of the Stokes flows and the incompressible Navier-Stokes flows in half-spaces

Cites Work

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• \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
• On estimates in Hardy spaces for the Stokes flow in a half space
• Analyticity and asymptotics for the Stokes solutions in a weighted space
• Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations
• Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains
• On the decay properties of solutions to the non-stationary Navier–Stokes equations in R³
• A solution formula for the Stokes equation in Rn+
• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
• HARDY SPACES OF SOLENOIDAL VECTOR FIELDS, WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS
• Weighted energy inequalities for the navier-stokes equations in exterior domains
• Temporal and spatial decays for the Navier–Stokes equations
• On the boundedness and decay of moments of solutions to the Navier-Stokes equations
• Decay rate for the incompressible flows in half spaces

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