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Shock interaction in sphere symmetry

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arxiv 2310.06510 v1 pith:KYSUGKBU submitted 2023-10-10 math.AP

classification math.AP
keywords problemshockinteractionsymmetrytimewavesestablishlocal
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We investigate the interaction of two oncoming shock waves in spherical symmetry for an ideal barotropic fluid. Our research problem is how to establish a local in time solution after the interaction point and determine the state behind the shock waves. This problem is a double free boundary problem, as the position of the shock waves in space time is unknown. Our work is based on a number of previous studies, including Lisibach's, who studied the case of plane symmetry. To solve this problem, we will use an iterative regime to establish a local in time solution.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constructing characteristic initial data for three dimensional compressible Euler equations

    math.AP 2025-08 unverdicted novelty 7.0 of 10

    The authors construct smooth characteristic initial data on any admissible cone for the 3D compressible Euler equations, resolving the open characteristic initial data problem.

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