The Stokes problem in a periodic layer

DOI10.1002/mana.200910839zbMath1227.35048OpenAlexW1978178442MaRDI QIDQ5199434

Gudrun Thäter, Sergueï A. Nazarov

Publication date: 16 August 2011

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200910839

zbMATH Keywords

asymptotic representationformal reductionperiodic structure near infinity

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Cites Work

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• Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity
• Elliptic problems in domains with piecewise smooth boundaries
• The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity
• Artificial boundary conditions for Stokes and Navier-Stokes systems in layer-like domains
• Asymptotics at infinity of solutions to the Neumann problem in a sieve-type layer
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• Asymptotics of the solution of the problem of deformation of an arbitrary locally periodic thin plate
• THE GENERALIZED BITANGENT CARATHÉODORY-NEVANLINNA-PICK PROBLEM, AND $ (j,J_0)$-INNER MATRIX-VALUED FUNCTIONS
• On the Fredholm property of the Stokes operator in a layer-like domain

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