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

Mihaela Ignatova, Igor Kukavica

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

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 the initial velocity in H3.5 for which the trace on the free boundary belongs to H3.5.

Original languageEnglish (US)
Pages (from-to)63-86
Number of pages24
JournalAsymptotic Analysis
Volume100
Issue number1-2
DOIs
StatePublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Euler equations
  • free boundary
  • surface tension

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