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Interior discontinuity for a stationary compressible Stokes system with inflow datum

Title
Interior discontinuity for a stationary compressible Stokes system with inflow datum
Authors
KWEON, JAE RYONGHAN, JOO HYEONGPARK, MIN JE
POSTECH Authors
KWEON, JAE RYONG
Date Issued
Nov-2017
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Abstract
In this paper we show an interior discontinuity and its piecewise regularity for a stationary compressible Stokes problem with inflow jump datum. The discontinuity is preserved along the interior curve directed by the ambient vector field. The difficulty lies in controlling the gradient of the pressure across the interior curve starting at the jump point that the inflow datum has. We deal with this issue by constructing a vector function corresponding to the interior jump and splitting the vector from the velocity vector. Finally the remainder for the velocity vector and pressure function is shown to be in the space
URI
http://oasis.postech.ac.kr/handle/2014.oak/38968
DOI
10.1016/j.camwa.2017.07.002
ISSN
0898-1221
Article Type
Article
Citation
COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 74, no. 10, page. 2321 - 2329, 2017-11
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 KWEON, JAE RYONG
Dept of Mathematics
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