On weighted estimates for the Stokes flows, with application to the Navier-Stokes equations
From MaRDI portal
Publication:1795286
DOI10.1007/s00021-018-0360-yzbMath1401.35251OpenAlexW2788177289MaRDI QIDQ1795286
Publication date: 16 October 2018
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-018-0360-y
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)
Related Items (4)
Decay properties for the incompressible Navier-Stokes flows in a half space ⋮ Asymptotic profile for the interaction of a rigid ball and an incompressible viscous fluid ⋮ Algebraic decay of weak solutions to 3D Navier-Stokes equations in general unbounded domains ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space
- On the Liouville type theorems with weights for the Navier-Stokes equations and Euler equations.
- Notes on the space-time decay rate of the Stokes flows in the half space
- Weighted \(L^p\)-estimates for Stokes flow in \(\mathbb R_+^n\) with applications to the non-stationary Navier-Stokes flow
- Liouville type theorems for the Euler and the Navier-Stokes equations
- Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces
- Temporal decays in \(L^1\) and \(L^{\infty}\) for the Stokes flow
- Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains
- Weighted decay results for the nonstationary Stokes flow and Navier-Stokes equations in half spaces
- Large time behavior for the nonstationary Navier-Stokes flows in the half-space
- Temporal and spatial decays for the Stokes flow
- Spatial and temporal decay estimate of the Stokes flow of weighted \(L^1\) initial data in the half space
- On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations
- Weighted \(L^q-L^1\) estimate of the Stokes flow in the half space
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
- Total variation decay of solutions to the Navier-Stokes equations
- Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space
- Analyticity and asymptotics for the Stokes solutions in a weighted space
- 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
- Weighted \(L^p-L^q\) estimates of the Stokes semigroup in some unbounded domains
- Long-time behavior for the nonstationary Navier-Stokes flows in \(L^1(\mathbb R_+^n)\)
- On the localization of symmetric and asymmetric solutions of the Navier–Stokes equations in
- Weighted L p − L q Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-Stokes Equations
- Solutions of the Navier-Stokes initial value problem in weightedLq-spaces
- EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA
- Note on Singular Integrals
- 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
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator
- Weighted spatial decay rates for the Navier–Stokes flows in a half-space
- Conditions on the Pressure for Vanishing Velocity in the Incompressible Fluid Flows in ℝN
- Temporal and spatial decays for the Navier–Stokes equations
- TEMPORAL AND SPATIAL DECAY RATES OF NAVIER-STOKES SOLUTIONS IN EXTERIOR DOMAINS
- Decay rate for the incompressible flows in half spaces
- On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations
This page was built for publication: On weighted estimates for the Stokes flows, with application to the Navier-Stokes equations
