Article ID Journal Published Year Pages File Type
4609462 Journal of Differential Equations 2016 69 Pages PDF
Abstract

We study the free boundary Euler equations with surface tension in three spatial dimensions, showing that the equations are well-posed if the coefficient of surface tension is positive. Then we prove that under natural assumptions, the solutions of the free boundary motion converge to solutions of the Euler equations in a domain with fixed boundary when the coefficient of surface tension tends to infinity.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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