Geometric singularities and regularity of solution of the Stokes system in nonsmooth domains

DOI10.55730/1300-0098.3359OpenAlexW4317617469MaRDI QIDQ5882011

Yasir Nadeem Anjam

Publication date: 14 March 2023

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3359

zbMATH Keywords

corner singularityinfinite conemixed boundary condition

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Cites Work

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• Solutions of the Navier-Stokes equations with various types of boundary conditions
• Basic properties of solution of the non-steady Navier-Stokes equations with mixed boundary conditions in a bounded domain
• Compressible Navier-Stokes equations in a polyhedral cylinder with inflow boundary condition
• Regularity of solutions for the Navier-Stokes system of incompressible flows on a polygon
• Mixed boundary value problems for the stationary Navier-Stokes system in polyhedral domains
• Direct and inverse error estimates for finite elements with mesh refinements
• A regularity result for the Stokes problem in a convex polygon
• Geometric singularities of the Stokes problem
• A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions.
• On steady compressible Navier-Stokes equations in plane domains with corners
• Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\)
• Boundary control of small solutions to fluid-structure interactions arising in coupling of elasticity with Navier-Stokes equation under mixed boundary conditions
• Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments
• The compressible Stokes flows with no-slip boundary condition on non-convex polygons
• An introduction to Navier-Stokes equation and oceanography.
• Some simple boundary value problems with corner singularities and boundary layers
• On the weak solutions to steady Navier-Stokes equations with mixed boundary conditions
• The Stationary Navier-Stokes System with No-Slip Boundary Condition on Polygons: Corner Singularity and Regularity
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Boundary-value problems for partial differential equations in non-smooth domains
• Regularity and Numerical Solution of Eigenvalue Problems with Piecewise Analytic Data
• 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
• Stokes flow with kinematic and dynamic boundary conditions
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II