On the Limit of Large Surface Tension for a Fluid Motion with Free Boundary
- 14 March 2014
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 39 (4) , 740-779
- https://doi.org/10.1080/03605302.2013.865058
Abstract
We study the free boundary Euler equations in two spatial dimensions. We prove that if the boundary has constant curvature, then solutions of the free boundary fluid motion converge to solutions of the Euler equations in a fixed domain when the coefficient of surface tension tends to infinity.Keywords
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