An evolution compressible Stokes system in a polygon

DOI10.1016/j.jde.2003.10.020zbMath1080.35075OpenAlexW2061879632MaRDI QIDQ1880759

Jae Ryong Kweon

Publication date: 1 October 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.020

zbMATH Keywords

existenceuniquenesscompressible Stokes system in a bounded polygondomain singularity

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Singularities of a compressible Stokes system in a domain with concave edge in \(\mathbb R^{3}\) ⋮ The evolution compressible Navier-Stokes system on polygonal domains ⋮ Regularity of solutions for the Navier-Stokes system of incompressible flows on a polygon ⋮ Interior jump and piecewise regularity for compressible Stokes equations in the T-shaped cavity domain ⋮ Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\) ⋮ For the parabolic Lamé system on polygonal domains: the transport equation ⋮ Mixing and reacting flow with inflow-outflow boundary conditions ⋮ Compressible Navier-Stokes equations in a polyhedral cylinder with inflow boundary condition ⋮ A discontinuous solution for an evolution compressible Stokes system in a bounded domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon
• Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
• Compressible Navier--Stokes Equations in a Bounded Domain with Inflow Boundary Condition
• Edge Behavior of the Solution of an Elliptic Problem
• Equivalent Norms for Sobolev Spaces
• Compressible Stokes problem on nonconvex polygonal domains