Spatial Decay of Time-Dependent Oseen Flows

DOI10.1137/080723831zbMath1189.35222OpenAlexW1975408270MaRDI QIDQ3564561

Paul Deuring

Publication date: 2 June 2010

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080723831

zbMATH Keywords

potential theorydecayexterior domainwakesingle layer potentialtime-dependent Oseen system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Connections of harmonic functions with differential equations in higher dimensions (31B35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (10)

Time-dependent incompressible viscous flows around a rigid body: estimates of spatial decay independent of boundary conditions ⋮ A maximum modulus theorem for the Oseen problem ⋮ Lq$L^q$‐weak solutions to the time‐dependent 3D Oseen system: Decay estimates ⋮ Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ⋮ 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 ⋮ Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity ⋮ The boundary value problems for the scalar Oseen equation ⋮ A representation formula for the velocity part of 3D time-dependent Oseen flows ⋮ Spatial asymptotics of mild solutions to the time-dependent Oseen system ⋮ 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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