The Navier-Stokes equations with the kinematic and vorticity boundary conditions on non-flat boundaries

DOI10.1016/S0252-9602(09)60078-3zbMath1212.35346arXiv0901.0144OpenAlexW2043380708MaRDI QIDQ979485

Zhongmin Qian, Osborne Dan, Gui-Qiang G. Chen

Publication date: 8 July 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0144

zbMATH Keywords

Navier-Stokes equationsvorticitystrong solutionsStokes operatorPoisson equationslip boundary conditionNeumann probleminviscid limitincompressiblekinematic boundary conditiongeneral domainabsolute boundary conditionnon-flat boundaryvorticity boundary condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) General topics in linear spectral theory for PDEs (35P05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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