The interaction of rarefaction waves of the two-dimensional euler equations

Xiao Chen, Yuxi Zheng

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

We construct classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the Euler equations in two space dimensions via the characteristics analysis without the hodograph transformations. We succeed in the case that the interaction (half ) angle is between π=6 and π/2 for gas constant gamma between one and two.

Original languageEnglish (US)
Pages (from-to)231-256
Number of pages26
JournalIndiana University Mathematics Journal
Volume59
Issue number1
DOIs
StatePublished - Jul 20 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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