\(L^1-\) decay of higher-order norms of solutions to the Navier-Stokes equations in the upper-half space

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Singularity in context of PDEs (35A21) Strong solutions to PDEs (35D35)

Cites Work

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Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space
Weighted \(L^p\)-estimates for Stokes flow in \(\mathbb R_+^n\) with applications to the non-stationary Navier-Stokes flow
Temporal decays in \(L^1\) and \(L^{\infty}\) for the Stokes flow
Large time behavior for the nonstationary Navier-Stokes flows in the half-space
Temporal and spatial decays for the Stokes flow
\(L^ 2\) decay for weak solutions of the Navier-Stokes equations
Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space
Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in \(\mathbb{R}^2\)
Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations
Space-time decay of Navier-Stokes flows invariant under rotations
New asymptotic profiles of nonstationary solutions of the Navier-Stokes system
On the movement of a space-filling viscous liquid
EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA
Decay of Non-Stationary Navier-Stokes Flow with Nonzero Dirichlet Boundary Data
Moment estimates for weak solutions to the Navier-Stokes equations in half-space
A solution formula for the Stokes equation in Rn+
Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
Behavior of Solutions of 2D Quasi-Geostrophic Equations
On the decay of higher-order norms of the solutions of Navier–Stokes equations
Temporal and spatial decays for the Navier–Stokes equations
Decay rate for the incompressible flows in half spaces

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