Mathematics – Analysis of PDEs
Scientific paper
2008-10-24
Mathematics
Analysis of PDEs
To appear in Journal of Hyperbolic Differential Equations
Scientific paper
In this paper, we prove a priori estimates in Lagrangian coordinates for the
equations of motion of an incompressible, inviscid, self-gravitating fluid with
free boundary. The estimates show that on a finite time interval we control
five derivatives of the fluid velocity and five and a half derivatives of the
coordinates of the moving domain.
Lindblad Hand
Nordgren Karl Hakan
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