On the motion of vortex sheets with surface tension in three-dimensional euler equations with vorticity

Communications on Pure and Applied Mathematics

Volumn 61, Issue 12, 2008, Pages 1715-1752

  Cheng, Ching Hsiao Arthur ^a,b   Coutand, Daniel ^a,c   Shkoller, Steve ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

^c HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 55749106935     PISSN: 00103640     EISSN: 00103640     Source Type: Journal    
DOI: 10.1002/cpa.20240     Document Type: Article

References (8)

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2. Ambrose, D. M.; Masmoudi, N. The zero surface tension limit of two-dimensional water waves. Comm. Pure Appl. Math. 58 (2005), 1287-1315.
3. Ambrose, D. M.; Masmoudi, N. Well-posedness of 3D vortex sheets with surface tension. Commun. Math. Sci. 5 (2007) no. 2, 391-430.
4. Coutand, D.; Shkoller, S. Well-posedness of the free-surface incompressible Euler equations with or without surface tension. J. Amer. Math. Soc. 20 (2007), no. 3, 829-930 (electronic).
5. 2-regularity theory of linear strongly elliptic Dirichlet systems of order 2m with minimal regularity in the coefficients. Quart. Appl. Math. 60 (2002), no. 3, 547-576.
6. Majda, A. Compressible fluid flow and systems of conservation laws in several space variables. Applied Mathematical Sciences, 53. Springer, New York, 1984.
7. Shatah, Zeng, C. Geometry and a priori estimates for free boundary problems of the Euler's equation. Preprint, 2006. arXiv:math/0608428, 2006.
8. Temam, R. Navier-Stokes equations. Theory and numerical analysis. 3rd ed. Studies in Mathematics and Its Applications, 2. North-Holland, Amsterdam, 1984.