Well-posedness of the free-surface incompressible Euler equations with or without surface tension
Coutand, Daniel ; Shkoller, Steve
arXiv, 0511236 / Harvested from arXiv
Text on arXiv
We provide a new method for treating free boundary problems in perfect fluids, and prove local-in-time well-posedness in Sobolev spaces for the free-surface incompressible 3D Euler equations with or without surface tension for arbitrary initial data, and without any irrotationality assumption on the fluid. This is a free boundary problem for the motion of an incompressible perfect liquid in vacuum, wherein the motion of the fluid interacts with the motion of the free-surface at highest-order.
Publié le : 2005-11-09
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35Q35, 35R35, 35Q05, 76B03 
@article{0511236,
     author = {Coutand, Daniel and Shkoller, Steve},
     title = {Well-posedness of the free-surface incompressible Euler equations with
  or without surface tension},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511236}
}

Coutand, Daniel; Shkoller, Steve. Well-posedness of the free-surface incompressible Euler equations with
  or without surface tension. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511236/