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Applied Math Seminar
Exact solutions to supersonic flow onto a solid wedge
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We study the problem of supersonic flow onto a solid wedge. There are two possible steady solutions, a strong and a weak(er) shock. We study numerically which one occurs and is stable under which circumstances. To settle the question mathematically, we construct an exact self-similar solution to a model problem using compressible potential flow. The problem is mixed-type with degeneracy, with a free boundary and other technical obstacles. (joint work with Tai-Ping Liu) |