Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892362 | Computers & Mathematics with Applications | 2017 | 9 Pages |
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 K corresponding to the interior jump and splitting the vector K from the velocity vector. Finally the remainder for the velocity vector and pressure function is shown to be in the space H2,qÃH1,q for qâ¥2.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Joo Hyeong Han, Jae Ryong Kweon, Minje Park,