On properties of some integrals related to potentials for Stokes equations

DOI10.1090/S0033-569X-07-01054-0zbMath1148.31004OpenAlexW2033783866MaRDI QIDQ5301291

P. A. Krutitskii

Publication date: 29 April 2008

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-07-01054-0

zbMATH Keywords

Hölder spaces of functionspotential theory in 2Dsingular integrals with Hölder and power kernelsStokes equations in 2D

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Complex variables methods applied to problems in fluid mechanics (76M40) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (6)

Dirichlet problem for the Helmholtz equation in an exterior two-dimensional domain with cuts without matching conditions at the cut endpoints ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ On the Dirichlet problem for Stokes equations outside open arcs in a half-plane ⋮ The Dirichlet problem for Stokes equations outside open arcs in a half-plane and creeping flow over thin profiles ⋮ Dirichlet problem for the Stokes equations outside open curves on the plane ⋮ Dirichlet problem for the static elasticity equations outside curvilinear cracks on the plane

Cites Work

• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• The completed double layer boundary integral equation method for two-dimensional Stokes flow
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