Geodesic
Well-posedness for the motion of an incompressible liquid with free surface boundary
Hans Lindblad1
1 Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, United States
Annals of mathematics, Tome 162 (2005) no. 1, pp. 109-194.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We study the motion of an incompressible 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.
DOI : 10.4007/annals.2005.162.109

Hans Lindblad 1

1 Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, United States 
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Hans Lindblad. Well-posedness for the motion of an incompressible liquid with free surface boundary. Annals of mathematics, Tome 162 (2005) no. 1, pp. 109-194. doi : 10.4007/annals.2005.162.109. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.162.109/

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