Semi-hyperbolic Patches of Solutions to the Two-dimensional Euler Equations |
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| Authors: | Mingjie Li Yuxi Zheng |
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| Institution: | 1.School of Mathematical Sciences,Capital Normal University,Beijing,China;2.Institute of Applied Mathematics,AMSS, Academia Sinica,Beijing,China;3.Department of Mathematics,The Pennsylvania State University,University Park,USA |
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| Abstract: | We construct semi-hyperbolic patches of solutions, in which one family out of two nonlinear families of characteristics starts
on sonic curves and ends on transonic shock waves, to the two-dimensional Euler equations. This type of solution appears in
the transonic flow over an airfoil and Guderley reflection, and is common in the numerical solutions of Riemann problems. |
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