Dirichlet problem for the Stokes equations outside open curves on the plane

DOI10.1134/S0012266108090024zbMath1170.35076OpenAlexW2050551245MaRDI QIDQ1007021

P. A. Krutitskii

Publication date: 26 March 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266108090024

zbMATH Keywords

Dirichlet problemFredholm integral equationStokes equationsopen curves

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) Fredholm integral equations (45B05) Solutions to PDEs in closed form (35C05)

Cites Work

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• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• The completed double layer boundary integral equation method for two-dimensional Stokes flow
• An explicit solution of the pseudo‐hyperbolic initial boundary value problem in a multiply connected region
• On properties of some integrals related to potentials for Stokes equations

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