\(L_q\)-\(L_r\)-estimates for non-stationary Stokes equations in an aperture domain

DOI10.4171/ZAA/1069zbMath1027.35087OpenAlexW2023819015MaRDI QIDQ1607604

Helmut Abels

Publication date: 20 October 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1069

zbMATH Keywords

asymptotic behaviorasymptotic expansionsStokes equationaperture domains

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (2)

Boundedness, almost periodicity and stability of certain Navier-Stokes flows in unbounded domains ⋮ Periodic solutions of the Navier-Stokes equations in a perturbed half-space and an aperture domain

Cites Work

• Large time asymptotics for fundamental solutions of diffusion equations
• \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
• Note on the flux condition and pressure drop in the resolvent problem of the Stokes system
• A solution formula for the Stokes equation in Rn+
• Existence, uniqueness and asymptotic behaviour of solutions of steady-state Navier-Stokes equations in a plane aperture domain
• HELMHOLTZ DECOMPOSITION AND STOKES RESOLVENT SYSTEM FOR APERTURE DOMAINS IN Lq-SPACES
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