Decay estimates on Besov and Triebel-Lizorkin spaces of the Stokes flows and the incompressible Navier-Stokes flows in half-spaces

DOI10.1016/j.jde.2022.08.020zbMath1500.35222OpenAlexW4296127144MaRDI QIDQ2087608

The Quan Bui, Xuan Thinh Duong, The Anh Bui

Publication date: 21 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.08.020

zbMATH Keywords

Navier-Stokes equationsstrong solutionhalf-spaceBesov regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Strong solutions to PDEs (35D35)

Related Items (1)

New atomic decomposition for Besov type space \(\dot{B}^0_{1, 1}\) associated with Schrödinger type operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
• On estimates in Hardy spaces for the Stokes flow in a half space
• Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space
• Space-time decay of Navier-Stokes flows invariant under rotations
• Compensated compactness and Hardy spaces
• Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains
• Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces
• Mixed-norm \(L_p\)-estimates for non-stationary Stokes systems with singular VMO coefficients and applications
• New asymptotic profiles of nonstationary solutions of the Navier-Stokes system
• Decay results of solutions to the incompressible Navier-Stokes flows in a half space
• On the localization of symmetric and asymmetric solutions of the Navier–Stokes equations in
• 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
• Energy equalities for compressible Navier–Stokes equations
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• \(L^p\)-theory of the Stokes equation in a half space

This page was built for publication: Decay estimates on Besov and Triebel-Lizorkin spaces of the Stokes flows and the incompressible Navier-Stokes flows in half-spaces