Non-existence of strong regular reflections in self-similar potential flow |
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Authors: | Volker Elling |
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Institution: | University of Michigan, Department of Mathematics, 530 Church St., Ann Arbor, MI, United States |
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Abstract: | We consider shock reflection which has a well-known local non-uniqueness: the reflected shock can be either of two choices, called weak and strong. We consider cases where existence of a global solution with weak reflected shock has been proven, for compressible potential flow. If there was a global strong-shock solution as well, then potential flow would be ill-posed. However, we prove non-existence of strong-shock analogues in a natural class of candidates. |
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