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PDE Seminar
646 PGH


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Michael Sever

Department of Mathematics, Hebrew University



Mach reflection: Irregular or Illusory?



September 9, 2008
3-4 PM, 646 PGH


Abstract

We consider the reflection of an incident shock by a wedge for the “nonlinear wave system.” For wedge angle sufficiently small, it is shown that a homotopy between weak regular reflection and Mach or irregular reflection, parameterized by shock strength, does not exist.

This suggests that Mach reflection is not only irregular, but also illusory, and that attempts to compute solution structure in the neighborhood of the “triple point” will produce results necessarily dependent on the numerical dissipation.







David H. Wagner   University of Houston    ---    Last modified:  September 26 2017 - 05:42:22

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