Asymptotic behavior of the Navier-Stokes flow in a general 2D domain

DOI10.1016/j.aml.2005.02.005zbMath1125.35073OpenAlexW2059565919MaRDI QIDQ812686

Chunshan Zhao, Yin-Nian He

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.005

zbMATH Keywords

asymptotic behaviorboundary layer flowNavier-Stokes flowEuler flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30)

Cites Work

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• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• On the Euler equations of incompressible perfect fluids
• Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
• Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case
• Asymptotic analysis of the linearized Navier-Stokes equations in a channel
• On classical solutions of the two-dimensional non-stationary Euler equation
• A Kato type theorem on zero viscosity limit of Navier-Stokes flows
• Asymptotic analysis of Oseen type equations in a channel at small viscosity

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