On the limit of large surface tension for a fluid motion with free boundary

Abstract

We study the free boundary Euler equations in two spatial dimensions. We prove that if the boundary is sufficiently regular, 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.

References in corpus (1)

• On the finite-time splash and splat singularities for the 3-D free-surface Euler equations

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