Navier-Stokes flow in the weighted Hardy space with applications to time decay problem

DOI10.1016/j.jde.2016.04.014zbMath1346.35147OpenAlexW2362549095MaRDI QIDQ285628

Yohei Tsutsui, Takahiro Okabe

Publication date: 19 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.04.014

zbMATH Keywords

Navier-Stokes equationsasymptotic expansionsweighted Hardy spacestime decay

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (7)

The Navier-Stokes equations on the plane with time-dependent external forces ⋮ Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces ⋮ Time-asymptotic study of a viscous axisymmetric fluid without swirl ⋮ Space-time asymptotics of the two dimensional Navier-Stokes flow in the whole plane ⋮ Large time behavior of solutions to the 3D rotating Navier-Stokes equations ⋮ Forced Rapidly Dissipative Navier–Stokes Flows ⋮ Annihilation of slowly-decaying terms of Navier–Stokes flows by external forcing

Cites Work

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• Weighted Besov and Triebel spaces: Interpolation by the real method
• Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• On the weighted decay for solutions of the Navier-Stokes system
• Weak solutions of Navier-Stokes equations
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\)
• Weighted Hardy spaces
• Weighted estimates for nonstationary Navier-Stokes equations
• Decay of the \(L_ \infty\)-norm of solutions of Navier-Stokes equations in unbounded domains
• Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations
• On upper and lower bounds of rates of decay for nonstationary Navier-Stokes flows in the whole space.
• Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations.
• Space-time decay of Navier-Stokes flows invariant under rotations
• Compensated compactness and Hardy spaces
• Weighted estimate of the asymptotic profiles of the Navier-Stokes flow in \(\mathbb R^n\)
• Weighted \(L^p-L^q\) estimates of the Stokes semigroup in some unbounded domains
• An application of weighted Hardy spaces to the Navier-Stokes equations
• \(H^p\) spaces of several variables
• On the localization of symmetric and asymmetric solutions of the Navier–Stokes equations in
• Asymptotic Profiles of Nonstationary Incompressible Navier--Stokes Flows in the Whole Space
• On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$
• Large time behaviour of solutions to the navier-stokes equations
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
• A weighted equation approach to decay rate estimates for the Navier–Stokes equations
• HARDY SPACES OF SOLENOIDAL VECTOR FIELDS, WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS
• Pointwise Decay of Solutions and of Higher Derivatives to Navier--Stokes Equations
• The local versions of $H^p(ℝ^n)$ spaces at the origin
• Large-Time Behavior in Incompressible Navier–Stokes Equations
• WeightedL^pDecay for Solutions of the Navier-Stokes Equations
• Remarks on Herz-type Hardy spaces
• On the boundedness and decay of moments of solutions to the Navier-Stokes equations

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