Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains
DOI10.1007/s00021-014-0198-xzbMath1328.35149OpenAlexW2024987782MaRDI QIDQ893053
Publication date: 13 November 2015
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-014-0198-x
exterior domainrepresentation formulaspatial decaytime-dependent incompressible Navier-Stokes system
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pointwise spatial decay of time-dependent Oseen flows: the case of data with noncompact support
- On the effect of external forces on incompressible fluid motions at large distances
- Global \(L^ n\)-solution and its decay property for the Navier-Stokes equations in half-space \(R^ n_ +\)
- Some results on the asymptotic behaviour of weak Hopf solutions of the Navier-Stokes equations in unbounded domains
- Optimal weighted estimates of the flows in exterior domains
- On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain
- Weighted estimates for the incompressible fluid in exterior domains
- Semigroups of linear operators and applications to partial differential equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- On the semigroup of the Stokes operator for exterior domains in L q- spaces
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- The Stokes-system in exterior domains: \(L^ p\)-estimates for small values of a resolvent parameter
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- The decay rates of strong solutions for Navier-Stokes equations
- Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations
- Partial regularity of a generalized solution to the Navier-Stokes equations in exterior domain
- On the asymptotic behaviour of the \(L^ 2\)-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains
- 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
- A representation formula for the velocity part of 3D time-dependent Oseen flows
- New asymptotic profiles of nonstationary solutions of the Navier-Stokes system
- Weighted estimate of the asymptotic profiles of the Navier-Stokes flow in \(\mathbb R^n\)
- Decay rate of solutions of Navier-Stokes equations in 3-dimensional half space
- Fast decays of strong global solutions of the Navier-Stokes equations
- On a class of global solutions of the Navier-Stokes equations
- Spatial decay of the velocity field of an incompressible viscous fluid in \(\mathbb R^d\)
- On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
- On the decay properties of solutions to the non-stationary Navier–Stokes equations in R3
- Asymptotic Profiles of Nonstationary Incompressible Navier--Stokes Flows in the Whole Space
- 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
- Spatial Decay of Time-Dependent Incompressible Navier--Stokes Flows with Nonzero Velocity at Infinity
- An integral operator related to the Stokes system in exterior domains
- The resolvent problem for the stokes system in exterior domains: An elementary approach
- Boundary Value Problems for Parabolic Lame Systems and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders
- Spatial Decay of Time-Dependent Oseen Flows
- 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
- A weighted equation approach to decay rate estimates for the Navier–Stokes equations
- Pointwise Decay of Solutions and of Higher Derivatives to Navier--Stokes Equations
- Functional Analysis
- ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
- Large-Time Behavior in Incompressible Navier–Stokes Equations
- WeightedLpDecay for Solutions of the Navier-Stokes Equations
- Temporal and spatial decays for the Navier–Stokes equations
- A Cauchy Problem for the Navier-Stokes Equations in $R^n$
- Asymptotic behavior for strong solutions of the Navier-Stokes equations with external forces
- Rapid time-decay and net force to the obstacles by the Stokes flow 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
This page was built for publication: Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains