Well posedness for the motion of a compressible liquid with free surface boundary
Lindblad, Hans
arXiv, 0504339 / Harvested from arXiv
Text on arXiv
We study the motion of a compressible perfect liquid body in vacuum. This can be thought of as a model for the motion of the ocean or a star. The free surface moves with the velocity of the liquid and the pressure vanishes on the free surface. This leads to a free boundary problem for Euler's equations, where the regularity of the boundary enters to highest order. We prove local existence in Sobolev spaces assuming a "physical condition", related to the fact that the pressure of a fluid has to be positive.
Publié le : 2005-04-16
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics 
@article{0504339,
     author = {Lindblad, Hans},
     title = {Well posedness for the motion of a compressible liquid with free surface
  boundary},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504339}
}

Lindblad, Hans. Well posedness for the motion of a compressible liquid with free surface
  boundary. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504339/