A jump discontinuity of compressible viscous flows grazing a non-convex corner |
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Authors: | Jae Ryong Kweon |
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Institution: | Department of Mathematics, POSTECH, Pohang 790-784, Republic of Korea |
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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. |
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Keywords: | 35M32 76N10 35L60 |
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