Abstract:
We show that the 3-dimensional supersonic gas flow past an infinite cone is nonlinear staple upon the perturbation of the obstacle. The perturbed flow exists globally in space and tends to the self-similar flow downstream. There is a thin layer of concentration of vorticities and entropy variation. Our analysis is based on an approximation scheme using local self-similar solutions as building blocks. This enables us to obtain global estimates of the nonlinear interactions of waves needed for the stability analysis.
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Received: 23 November 1998 / Accepted: 26 January 1999
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Lien, WC., Liu, TP. Nonlinear Stability of a Self-Similar 3-Dimensional¶Gas Flow. Comm Math Phys 204, 525–549 (1999). https://doi.org/10.1007/s002200050656
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DOI: https://doi.org/10.1007/s002200050656