The Stationary Navier-Stokes System with No-Slip Boundary Condition on Polygons: Corner Singularity and Regularity

DOI10.1080/03605302.2012.752386zbMath1300.35069OpenAlexW2029813822MaRDI QIDQ2855210

Jae Ryong Kweon, Hyung Jun Choi

Publication date: 24 October 2013

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

Full work available at URL: https://doi.org/10.1080/03605302.2012.752386

zbMATH Keywords

regularitycorner singularityincompressible flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Related Items (9)

Geometric singularities and regularity of solution of the Stokes system in nonsmooth domains ⋮ Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ The qualitative analysis of solution of the Stokes and Navier-Stokes system in non-smooth domains with weighted Sobolev spaces ⋮ An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem ⋮ An error analysis of the finite element method of the Stokes equations with parameter based on the singular function expansion ⋮ Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability ⋮ A finite element method for singular solutions of the Navier-Stokes equations on a non-convex polygon ⋮ The Fourier finite element method for the corner singularity expansion of the heat equation ⋮ Compressible Navier-Stokes equations in a polyhedral cylinder with inflow boundary condition

Cites Work

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• A regularity result for the Stokes problem in a convex polygon
• On singularities in the solution of three-dimensional Stokes flow and incompressible elasticity problems with corners
• Finite Element Methods for Navier-Stokes Equations
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains
• Finite difference solutions of incompressible flow problems with corner singularities.

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