On the weighted decay for solutions of the Navier-Stokes system
From MaRDI portal
Publication:1004652
DOI10.1016/j.na.2008.03.031zbMath1166.35358OpenAlexW1993529872MaRDI QIDQ1004652
Publication date: 11 March 2009
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.2008.03.031
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30)
Related Items (19)
Space-time decay estimates of solutions to liquid crystal system in \(\mathbb{R}^3\) ⋮ Navier-Stokes flow in the weighted Hardy space with applications to time decay problem ⋮ Space-time decay rate for 3D compressible Euler equations with damping ⋮ Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces ⋮ Space-time decay rates for the 3D full compressible MHD equations ⋮ Space-time decay rates for the 3D compressible micropolar fluids system ⋮ Long time behavior of solutions of an electroconvection model in \(\mathbb{R}^2\) ⋮ Existence, uniqueness and decay rates of a certain type of 3D Hall-MHD equations with power-law type ⋮ Space-time decay rate for strong solutions to the viscous liquid-gas two-phase flow with magnetic field ⋮ Unnamed Item ⋮ Space-time decay estimates for the incompressible flow of liquid crystals ⋮ Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations ⋮ Space-time decay rate for Navier-Stokes equations with power-law type nonlinear viscous fluid ⋮ Space-time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations ⋮ Asymptotic behavior of solutions to incompressible electron inertial Hall-MHD system in \(\mathbb{R}^3\) ⋮ Remarks on asymptotic behaviors of strong solutions to a viscous Boussinesq system ⋮ Optimal large-time behavior of solutions to the full compressible Navier-Stokes equations with large initial data ⋮ Space–time decay of solutions to three-dimensional MHD equations with Hall and ion-slip effects ⋮ Space-time decay rate for the two-phase flow model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\)
- Some integral identities and remarks on the decay at infinity of the solutions to the Navier-Stokes equations in the entire space
- A remark on time-analyticity for the Kuramoto--Sivashinsky equation
- 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
- New asymptotic profiles of nonstationary solutions of the Navier-Stokes system
- On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$
- Space-time decay for solutions of the Navier-Stokes equations
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- A weighted equation approach to decay rate estimates for the Navier–Stokes equations
- On the Instantaneous Spreading for the Navier–Stokes System in the Whole Space
- Pointwise Decay of Solutions and of Higher Derivatives to Navier--Stokes Equations
- Long-time asymptotics of the Navier-Stokes and vorticity equations on ℝ3
- On the decay of higher-order norms of the solutions of Navier–Stokes equations
- WeightedLpDecay for Solutions of the Navier-Stokes Equations
- Temporal and spatial decays for the Navier–Stokes equations
- Weighted bounds for the velocity and the vorticity for the Navier–Stokes equations
This page was built for publication: On the weighted decay for solutions of the Navier-Stokes system