Asymptotic behavior for the Navier-Stokes equations with nonzero external forces

DOI10.1016/j.na.2008.10.074zbMath1238.76015OpenAlexW2042539573MaRDI QIDQ419756

Hyeong-Ohk Bae, Lorenzo Brandolese, Bum Ja Jin

Publication date: 20 May 2012

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.2008.10.074

zbMATH Keywords

weights upper bound lower bound Stokes equations Navier-Stokes external force heat solution temporal-spatial decay

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (2)

On the effect of external forces on incompressible fluid motions at large distances ⋮ Stability of singular solutions to the Navier-Stokes system

Cites Work

Unnamed Item
Unnamed Item
Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces
Strong $L^ p$-solutions of the Navier-Stokes equation in $R^ m$, with applications to weak solutions
Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains
$L^ 2$ decay for weak solutions of the Navier-Stokes equations
On $L^ 2$ decay of weak solutions of the Navier-Stokes equations in $\mathbb R^ n$
$L^ 2$ decay for the Navier-Stokes flow in halfspaces
Weighted estimates for nonstationary Navier-Stokes equations
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
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
Partial regularity of suitable weak solutions of the navier-stokes equations
Weighted energy inequalities for the navier-stokes equations in exterior domains
Temporal and spatial decays for the Navier–Stokes equations
TEMPORAL AND SPATIAL DECAY RATES OF NAVIER-STOKES SOLUTIONS IN EXTERIOR DOMAINS
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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