Singularities in the density gradient
SCIE
SCOPUS
- Title
- Singularities in the density gradient
- Authors
- Kweon, JR; Kellogg, RB
- Date Issued
- 2006-08
- Publisher
- BIRKHAUSER VERLAG AG
- Abstract
- The compressible steady state Navier-Stokes system with viscosity is considered on a plane polygonal domain. It is shown that if a solution satisfies certain reasonable regularity conditions, and if the velocity is non-zero and points into the domain at a vertex of the polygon, then the gradient of the density either becomes infinite or has a jump discontinuity at each point of the streamline emanating from the vertex.
- Keywords
- compressible viscous flow; corner singularity; Navier-Stokes; NAVIER-STOKES EQUATIONS; DISCONTINUOUS SOLUTIONS; STEADY-STATE; COMPRESSIBLE FLOWS; REGULARITY; POLYGON
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29593
- DOI
- 10.1007/S00021-005-0
- ISSN
- 1422-6928
- Article Type
- Article
- Citation
- JOURNAL OF MATHEMATICAL FLUID MECHANICS, vol. 8, no. 3, page. 445 - 454, 2006-08
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- There are no files associated with this item.
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