The Green function for the mixed problem for the linear Stokes system in domains in the plane

DOI10.1002/mana.201300281zbMath1314.35105arXiv1310.1987OpenAlexW3125614578MaRDI QIDQ4982610

Seick Kim, Russell M. Brown, Katharine A. Ott

Publication date: 9 April 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1987

zbMATH Keywords

mixed boundary conditionsStokes system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Second-order elliptic systems (35J47) Green's functions for elliptic equations (35J08)

Related Items (11)

Estimates for Green functions of Stokes systems in two dimensional domains ⋮ On some mixed-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces ⋮ The Green function for the Stokes system with measurable coefficients ⋮ On Stokes--Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes--Darcy Model ⋮ Error estimates for optimal control problems involving the Stokes system and Dirac measures ⋮ Green functions of conormal derivative problems for stationary Stokes system ⋮ Layer potentials and Poisson problems for the nonsmooth coefficient Brinkman system in Sobolev and Besov spaces ⋮ Fundamental solutions for stationary Stokes systems with measurable coefficients ⋮ Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L_∞ strongly elliptic coefficient tensor ⋮ Green's Function for Nondivergence Elliptic Operators in Two Dimensions ⋮ Boundary value problems for the Brinkman system with \(L^\infty\) coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach

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