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Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a multiply connected bounded domain

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Publication:1036212
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DOI10.2140/pjm.2009.243.127zbMath1185.35168OpenAlexW2094712359MaRDI QIDQ1036212

Hideo Kozono, Taku Yanagisawa

Publication date: 12 November 2009

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2009.243.127


zbMATH Keywords

stationary Navier-Stokes equationsnonhomogeneous boundary value problemHelmholtz-Weyl decomposition


Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)


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A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains ⋮ Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data ⋮ The Helmholtz-Weyl decomposition of \(L^r\) vector fields for two dimensional exterior domains ⋮ Preface ⋮ Leray's problem on the stationary Navier-Stokes equations with inhomogeneous boundary data ⋮ Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain



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