A Jump discontinuity of compressible viscous flows grazing a non-convex corner
SCIE
SCOPUS
- Title
- A Jump discontinuity of compressible viscous flows grazing a non-convex corner
- Authors
- Kweon, JR
- Date Issued
- 2013-09
- Publisher
- Elsevier
- Abstract
- We show existence and regularity of solution for the compressible viscous steady state Navier-Stokes system on a polygon having a grazing corner and that the density has a jump discontinuity across a curve inside the domain. There are corresponding jumps in derivatives of the velocity. The solution comes from a well-posed boundary value problem on a polygonal domain with a non-convex corner. A formula for the decay of the jump is given. The decay formula suggests that density jumps can occur in a compressible flow with a non-vanishing viscosity. (c) 2013 Elsevier Masson SAS. All rights reserved.
- Keywords
- Compressible viscous flow; Grazing corner; Jump discontinuity; NAVIER-STOKES EQUATIONS; STEADY-STATE; REGULARITY; POLYGON; SYSTEM
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/16060
- DOI
- 10.1016/J.MATPUR.2013.
- ISSN
- 0021-7824
- Article Type
- Article
- Citation
- Journal de Mathématiques Pures et Appliquées, vol. 100, no. 3, page. 410 - 432, 2013-09
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