On the local existence of the free-surface Euler equation with surface tension

@article{Ignatova2016OnTL,
  title={On the local existence of the free-surface Euler equation with surface tension},
  author={Mihaela Ignatova and Igor Kukavica},
  journal={Asymptotic Analysis},
  year={2016},
  volume={100},
  pages={63-86}
}
We address the existence of solutions for the free-surface Euler equation with surface tension in a bounded domain. Considering the problem in Lagrangian variables we provide a priori estimates leading to existence of local solutions with initial data in H. Mathematics Subject Classification: 35Q31, 35R35 

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