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 language | English |
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| Pages (from-to) | 559-587 |
| Number of pages | 29 |
| Journal | Communications in Mathematical Physics |
| Volume | 296 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2010 |