Justification of asymptotic two-dimensional model for steady Navier-Stokes equations for incompressible flow

DOI10.1007/s10440-009-9551-0zbMath1198.35184OpenAlexW2019295037MaRDI QIDQ708838

Rostislav Vodak

Publication date: 14 October 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9551-0

zbMATH Keywords

Navier-Stokes equationsthin domainsasymptotic analysisincompressible flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Navier-Stokes equations (35Q30)

Related Items (2)

Compressible nonlinearly viscous fluids: asymptotic analysis in a 3D curved domain ⋮ Unnamed Item

Cites Work

• Asymptotic solution of the Navier-Stokes problem on the flow of a thin layer of fluid
• Existence and uniqueness for the linear Koiter model for shells with little regularity
• Navier-Stokes equations in thin 3D domains with Navier boundary conditions
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