The Pressure Singularity for Compressible Stokes Flows in a Concave Polygon
SCIE
SCOPUS
- Title
- The Pressure Singularity for Compressible Stokes Flows in a Concave Polygon
- Authors
- Kweon, JR; Kellogg, RB
- Date Issued
- 2009-03
- Publisher
- BIRKHAUSER VERLAG AG
- Abstract
- A compressible Stokes system is studied in a polygon with one concave vertex. A corner singularity expansion is obtained up to second order. The expansion contains the usual corner singularity functions for the velocity plus an "associated" velocity singular function, and a pressure singular function. In particular the singularity of pressure is not local but occurs along the streamline emanating from the incoming concave vertex. It is observed that certain first derivatives of the pressure become infinite along the streamline of the ambient flow emanating from the concave vertex. Higher order regularity is shown for the remainder.
- Keywords
- Compressible flows; corner singularities; singular expansion; EQUATIONS; REGULARITY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28787
- DOI
- 10.1007/s00021-007-0245-y
- ISSN
- 1422-6928
- Article Type
- Article
- Citation
- JOURNAL OF MATHEMATICAL FLUID MECHANICS, vol. 11, no. 1, page. 1 - 21, 2009-03
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.