The 3D time-dependent Oseen system: link between \(L^p\)-integrability in time and pointwise decay in space of the velocity
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Publication:2036453
DOI10.1007/s00021-021-00562-6zbMath1471.76025OpenAlexW3004894646MaRDI QIDQ2036453
Publication date: 29 June 2021
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-021-00562-6
weak solutionintegral representationlayer potentialvolume potentialexterior Lipschitz domainvelocity fundamental solution
Related Items (4)
Time-dependent incompressible viscous flows around a rigid body: estimates of spatial decay independent of boundary conditions ⋮ Lq$L^q$‐weak solutions to the time‐dependent 3D Oseen system: Decay estimates ⋮ Anisotropically weighted Lq$L^q$‐Lr$L^r$ estimates of the Oseen semigroup in exterior domains, with applications to the Navier–Stokes flow past a rigid body ⋮ Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle
Cites Work
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- Pointwise spatial decay of time-dependent Oseen flows: the case of data with noncompact support
- Stability for the 3D Navier-Stokes equations with nonzero far field velocity on exterior domains
- On Oseen resolvent estimates.
- Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains
- The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces
- On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation
- Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains
- Estimates of the wake for the 3D Oseen equations
- On the asymptotic behavior of incompressible viscous fluid motions past bodies
- On nonstationary solutions of the Navier-Stokes equations in an exterior domain
- On the stability of incompressible viscous fluid motions past objects
- Estimates for solutions of nonstationary Navier-Stokes equations
- On the Oseen equation in the three dimensional exterior domains
- On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest
- Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle
- Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity
- A representation formula for the velocity part of 3D time-dependent Oseen flows
- The exterior nonstationary problem for the Navier-Stokes equations
- On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
- Spatial Decay of Time-Dependent Incompressible Navier--Stokes Flows with Nonzero Velocity at Infinity
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: approximation by flows in bounded domains
- On Pointwise Decay of Linearized Stationary Incompressible Viscous Flow around Rotating and Translating Bodies
- 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
- A weighted equation approach to decay rate estimates for the Navier–Stokes equations
- On an exterior initial-boundary value problem for Navier-Stokes equations
- A Potential-Theoretic Approach to the Time-Dependent Oseen System
- A priori estimates for second-order parabolic equations
- Local energy decay of solutions to the Oseen equation in the exterior domains
- Rapid time-decay and net force to the obstacles by the Stokes flow in exterior domains
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
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