Stokes equations and elliptic systems with nonstandard boundary conditions

DOI10.1016/j.crma.2011.04.007zbMath1230.35083OpenAlexW2032267111MaRDI QIDQ550429

Nour El Houda Seloula, Chérif Amrouche

Publication date: 8 July 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.04.007

zbMATH Keywords

Stokes equations3D multiple connected domainsnon homogeneous boundary conditions

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (7)

Towards large-scale three-dimensional blood flow simulations in realistic geometries ⋮ One problem of the Navier type for the Stokes system in planar domains ⋮ Linearized Navier-Stokes equations with boundary conditions involving the pressure in an exterior domain of \(\mathbb{R}^3\) ⋮ Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach ⋮ One Navier's problem for the Brinkman system ⋮ A logarithmically improved regularity criterion for the Boussinesq equations in a bounded domain ⋮ Several non-standard problems for the stationary Stokes system

Cites Work

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• Stationary Stokes, Oseen and Navier-Stokes equations with singular data
• $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains
• Vector potentials in three-dimensional non-smooth domains
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• L^p-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS

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