A priori estimates for the free-boundary 3d compressible euler equations in physical vacuum

Daniel Coutand, Hans Lindblad, Steve Shkoller

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

We prove a priori estimates for the three-dimensional compressible Euler equations with moving physical vacuum boundary, with an equation of state given by p(?) = C??? for ? > 1. The vacuum condition necessitates the vanishing of the pressure, and hence density, on the dynamic boundary, which creates a degenerate and characteristic hyperbolic free-boundary system to which standard methods of symmetrizable hyperbolic equations cannot be applied. © The Author(s) 2010.

Original languageEnglish
Pages (from-to)559-587
Number of pages29
JournalCommunications in Mathematical Physics
Volume296
Issue number2
DOIs
Publication statusPublished - 2010

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