Well-posedness of the free-boundary compressible 3-D Euler equations with surface tension and the zero surface tension limit

We prove that the 3-D compressible Euler equations with surface tension along the moving free-boundary are well-posed. Specifically, we consider isentropic dynamics and consider an equation of state, modeling a liquid, given by Courant and Friedrichs as $p(\rho) = \alpha \rho^ \gamma - \beta$ for co...

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Bibliographic Details
Main Authors: Coutand, D, Hole, J, Shkoller, S
Format: Journal article
Language:English
Published: 2012