Oseen resolvent estimates with small resolvent parameter

DOI10.1016/j.jde.2018.02.033zbMath1394.35319OpenAlexW2796433282WikidataQ130017812 ScholiaQ130017812MaRDI QIDQ1743810

Paul Deuring

Publication date: 16 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.02.033

zbMATH Keywords

resolvent estimatesStokes systemOseen spectral problem

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (5)

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 ⋮ Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain ⋮ Spatial asymptotics of mild solutions to the time-dependent Oseen system ⋮ Stability of stationary viscous incompressible flow around a rigid body performing a translation

Cites Work

• 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 Oseen resolvent estimates.
• On the spectrum of an Oseen-type operator arising from flow past a rotating body
• Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains
• 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
• On nonstationary solutions of the Navier-Stokes equations in an exterior domain
• The Stokes-system in exterior domains: \(L^ p\)-estimates for small values of a resolvent parameter
• On the Oseen equation in the three dimensional exterior domains
• Stability of stationary viscous incompressible flow around a rigid body performing a translation
• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
• Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity
• Singular integrals
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• The resolvent problem for the stokes system in exterior domains: An elementary approach
• On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator
• ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS
• An eigenvalue criterion for stability of a steady Navier-Stokes flow in \({\mathbb{R}}^3\)

This page was built for publication: Oseen resolvent estimates with small resolvent parameter