For the vorticity-velocity-pressure form of the Navier-Stokes equations on a bounded plane domain with corners

DOI10.1016/j.na.2011.11.037zbMath1236.35108OpenAlexW2003691089MaRDI QIDQ412780

Jae Ryong Kweon, Oh Sung Kwon

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.11.037

zbMATH Keywords

regularitycorner singularityvorticity-velocity-pressure formulation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ One problem of the Navier type for the Stokes system in planar domains ⋮ Cut singularity of compressible Stokes flow ⋮ One Navier's problem for the Brinkman system ⋮ Boundary conditions for planar Stokes equations inducing vortices around concave corners ⋮ Interior Jump and Regularity of Compressible Viscous Navier--Stokes Flows Through a Cut

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