The Neumann problem for the planar Stokes system

DOI10.1007/s11565-012-0154-8zbMath1303.35074OpenAlexW2058397565MaRDI QIDQ473507

Dagmar Medková

Publication date: 24 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0154-8

zbMATH Keywords

Stokes systemintegral equation methodNeumann problemdouble layer potentialsuccessive approximationsingle layer potential

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Poisson-transmission problems for \(L^\infty\)-perturbations of the Stokes system on Lipschitz domains in compact Riemannian manifolds ⋮ Error estimates for finite element approximation of Dirichlet boundary control for Stokes equations in \(\mathbf{L}^2(\Gamma)\) ⋮ The weak Stokes problem associated with a flow through a profile cascade in Lr$L^r$‐framework ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade

Cites Work

• The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO
• Boundary value problems for a compressible Stokes system in bounded domains in \(\mathbb R^n\)
• Boundary value problems for the systems of elastostatics in Lipschitz domains
• Boundary integral equations
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Elliptic partial differential equations of second order
• The Dirichlet problem for the Stokes system on Lipschitz domains
• The planar Dirichlet problem for the Stokes equations
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Boundary value problems for the Stokes equations with jumps in open sets
• On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
• Integral representation of a solution of the Neumann problem for the Stokes system
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