The Compressible Stokes Flows with No-Slip Boundary Condition on Non-convex Polygons
SCIE
SCOPUS
- Title
- The Compressible Stokes Flows with No-Slip Boundary Condition on Non-convex Polygons
- Authors
- Jae Ryong Kweon
- Date Issued
- 2017-03
- Publisher
- SPRINGER BASEL AG
- Abstract
- In this paper we study the compressible Stokes equations with no-slip boundary condition on non-convex polygons and show a best regularity result that the solution can have without subtracting corner singularities. This is obtained by a suitable Helmholtz decomposition: u = w + del phi R with divw = 0 and a potential phi R. Here w is the solution for the incompressible Stokes problem and phi R is defined by subtracting from the solution of the Neumann problem the leading two corner singularities at non-convex vertices.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/39187
- DOI
- 10.1007/S00021-016-0264-7
- ISSN
- 1422-6928
- Article Type
- Article
- Citation
- Journal of Mathematical Fluid Mechanics, vol. 19, no. 1, page. 47 - 57, 2017-03
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