The Stokes-system in exterior domains: \(L^ p\)-estimates for small values of a resolvent parameter

DOI10.1007/BF00945837zbMath0738.35061MaRDI QIDQ1176201

Paul Deuring

Publication date: 25 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

integral equationsStokes systemspectral setsresolvent problem

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Spectral sets of linear operators (47A25) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ⋮ Oseen resolvent estimates with small resolvent parameter ⋮ Stability of stationary viscous incompressible flow around a rigid body performing a translation

Cites Work

• On the semigroup of the Stokes operator for exterior domains in L q- spaces
• On nonstationary solutions of the Navier-Stokes equations in an exterior domain
• Estimates for solutions of nonstationary Navier-Stokes equations
• An integral operator related to the Stokes system in exterior domains
• The resolvent problem for the stokes system in exterior domains: An elementary approach
• Efficient quadrature for a boundary element method to compute three-dimensional Stokes flow
• The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
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