A Priori Estimates for the Free-Boundary 3D Compressible Euler Equations in Physical Vacuum

被引：0
|
作者：
Daniel Coutand
Hans Lindblad
Steve Shkoller
机构：
[1] Heriot-Watt University,CANPDE, Maxwell Institute for Mathematical Sciences and Department of Mathematics
[2] University of California,Department of Mathematics
[3] University of California,Department of Mathematics
来源：
Communications in Mathematical Physics | 2010年 / 296卷
关键词：
Euler Equation; Compressible Euler Equation; Physical Vacuum; Horizontal Derivative; Compressible Liquid;
D O I：
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中图分类号：
学科分类号：
摘要：
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(ρ) = Cγργ for γ > 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.
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页码：559 / 587
页数：28
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