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Jump discontinuities of compressible viscous flows grazing a non-convex corner
Prof. Jae Ryong Kweon, Pohang University of Science and Technology, South Korea
2018-01-01 12:13  华东师范大学

学 术 报 告(偏微分方程)
报告人: Prof. Jae Ryong Kweon
(Pohang University of Science and Technology, South Korea)
题 目:Jump discontinuities of compressible viscous flows grazing a non-convex corner
地 点:闵行校区 四教325
时 间:2010年11月8日(星期一)下午:3: 30--4: 30
摘 要:A solution for the compressible viscous steady state Navier Stokes
system is given for which the density has a jump discontinuity across
a curve inside the domain of the problem. 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 concave
corner. A formula for the decay of the jump is given. The decay
formula suggests that density jumps may be noticeable in a high speed
flow occurring in a very viscous, very compressible fluid. This is a
joint work with Prof. Kellogg.