Regularity of solutions for the Navier-Stokes system of incompressible flows on a polygon
SCIE
SCOPUS
- Title
- Regularity of solutions for the Navier-Stokes system of incompressible flows on a polygon
- Authors
- Kweon, JR
- Date Issued
- 2007-04-01
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- We are concerned with singularities and regularities of solutions for the Navier-Stokes system of incompressible flows on a polygonal domain with a concave vertex. We subtract the corner singularities by the Stokes operator from the solution velocity and pressure functions of the system. It is shown that the stress intensity factors are functions of time variable, belong to a fractional Sobolev space on the time interval and can be expressed in terms of given data. An increased regularity for the remainder is obtained. (c) 2006 Elsevier Inc. All rights reserved.
- Keywords
- Navier-Stokes; incompressibility; corner singularity; PLANAR CONTRACTIONS; EQUATIONS; DOMAINS; BEHAVIOR; CORNERS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29474
- DOI
- 10.1016/j.jde.2006.12.008
- ISSN
- 0022-0396
- Article Type
- Article
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 235, no. 1, page. 166 - 198, 2007-04-01
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