Nonlinear stability of a self-similar 3-dimensional gas flow

Wen Ching Lien, Tai Ping Liu

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48 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)525-549
Number of pages25
JournalCommunications in Mathematical Physics
Volume204
Issue number3
DOIs
Publication statusPublished - 1999 Jan 1

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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