Singularities of a compressible Stokes system in a domain with concave edge in \(\mathbb R^{3}\)
type: Item
instance of: scholarly article
title: Singularities of a compressible Stokes system in a domain with concave edge in \(\mathbb R^{3}\)
zbMATH Open document ID: 1126.35043
author: Jae Ryong Kweon
published in: Journal of Differential Equations
publication date: 2006-12-07T00:00:00Z
review text: The author studies a compressible Stokes system in a three dimensional domain. One assumption on the domain is the assumption that is has a concave edge. He subtracts an edge singularity from the velocity and proves an increased regularity for remainder after the singularity has been subtracted. Making use of the transport character of the continuity equation he shows the propagation of the edge singularity into the interior of the considered domain.
reviewed by: Dirk Horstmann
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35M10
Mathematics Subject Classification ID: 35A21
zbMATH DE Number: 5078190
zbMATH Keywords: compressible flows
zbMATH Keywords: edge singularity
zbMATH Keywords: edge flux function
MaRDI profile type: Publication
full work available at URL: j.jde.2006.01.008
OpenAlex ID: W2091585543
cites work: Equivalent Norms for Sobolev Spaces
cites work: Q3470840
cites work: Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
cites work: Q4023365
cites work: Edge Behavior of the Solution of an Elliptic Problem
cites work: Q4551961
cites work: Q5673274
cites work: Q4176417
cites work: Q4520724
cites work: An evolution compressible Stokes system in a polygon
cites work: Compressible Navier--Stokes Equations in a Bounded Domain with Inflow Boundary Condition
cites work: Compressible Stokes problem on nonconvex polygonal domains
cites work: Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon
cites work: Singularities in the density gradient
cites work: Q5628582
cites work: Schauder estimates of solutions of elliptic boundary value problems in domains with edges on the boundary
cites work: On steady compressible Navier-Stokes equations in plane domains with corners
cites work: Elliptic problems in domains with piecewise smooth boundaries
cites work: Singularities of the solution to the Dirichlet problem for a second-order equation in a neighborhood of an edge
cites work: Flow along streamwise corners revisited
cites work: Q4513941
DOI: 10.1016/J.JDE.2006.01.008
description: scientific article; zbMATH DE number 5078190