Well-Posedness in Smooth Function Spaces for the Moving-Boundary Three-Dimensional Compressible Euler Equations in Physical Vacuum

We prove well-posedness for the three-dimensional compressible Euler equations with moving physical vacuum boundary, with an equation of state given by p ( ρ ) =  C γ ρ γ for γ > 1. The physical vacuum singularity requires the sound speed c to go to zero as the square-root of the distance to the...

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Bibliographic Details

Published in:	Archive for rational mechanics and analysis Vol. 206; no. 2; pp. 515 - 616
Main Authors:	Coutand, Daniel, Shkoller, Steve
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.11.2012 Springer Nature B.V
Subjects:	Classical Mechanics Complex Systems Eulers equations Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical Compressible Euler Equation Sobolev Embedding Theorem Physical Vacuum Euler Equation Free Boundary Problem
ISSN:	0003-9527, 1432-0673
Online Access:	Get full text
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