Abstract
We address the local existence and uniqueness of solutions for the 3D Euler equations with a free interface. We prove the local well-posedness in the rotational case when the initial datum u0 satisfies u0∈ H2.5 + δ and [InlineEquation not available: see fulltext.], where δ> 0 is arbitrarily small, under the Taylor condition on the pressure.
Original language | English (US) |
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Pages (from-to) | 535-563 |
Number of pages | 29 |
Journal | Applied Mathematics and Optimization |
Volume | 76 |
Issue number | 3 |
DOIs | |
State | Published - Dec 1 2017 |
All Science Journal Classification (ASJC) codes
- Control and Optimization
- Applied Mathematics
Keywords
- Cauchy invariance
- Euler equations
- Free surface
- Local existence
- Taylor condition
- Waves