Convergence of the Neumann series in BEM for the Neumann problem of the Stokes system

DOI10.1007/s10440-011-9643-5zbMath1235.35221OpenAlexW2081148092MaRDI QIDQ652294

Dagmar Medková

Publication date: 14 December 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9643-5

zbMATH Keywords

integral equationsNeumann boundary conditionStokes systemsuccessive approximationslayer potentials

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Boundary element methods for boundary value problems involving PDEs (65N38)

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\(L^q\)-solution of the Robin problem for the Oseen system ⋮ On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle ⋮ Transmission problem for the Brinkman system ⋮ Integral equation method for the first and second problems of the Stokes system ⋮ A Dirichlet-transmission problem for Darcy-Forchheimer-Brinkman and Navier-Stokes equations in bounded Lipschitz domain ⋮ Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains ⋮ Several non-standard problems for the stationary Stokes system ⋮ A Poisson problem of transmission-type for the Stokes and generalized Brinkman systems in complementary Lipschitz domains in \(\mathbb{R}^3\) ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Integral representation of a solution to the Stokes-Darcy problem ⋮ Generalized Darcy-Oseen resolvent problem ⋮ Weak solutions of the Robin problem for the Oseen system

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