On the Fredholm property of the Stokes operator in a layer-like domain

DOI10.4171/ZAA/1008zbMath0984.35127OpenAlexW2062786624MaRDI QIDQ5938155

Konstantinas Pileckas, Sergueï A. Nazarov

Publication date: 5 May 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/1008

zbMATH Keywords

Fredholm propertyweighted spacesStokes equationslayer-like domain

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) General theory of partial differential operators (47F05)

Related Items (4)

Spatial behavior of solutions to the time periodic Stokes system in a three dimensional layer ⋮ A steady three-dimensional noncompact free boundary-value problem for the Navier-Stokes equations ⋮ The Stokes problem in a periodic layer ⋮ Normal solvability of linear elliptic problems

Cites Work

• On the solvability of the Stokes and Navier-Stokes problems in the domains that are layer-like at infinity
• The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity
• The spatial structure of the stress field in the neighbourhood of the corner point of a thin plate
• Another approach to elliptic boundary problems
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