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On the motion of vortex sheets with surface tension in three‐dimensional Euler equations with vorticity

2008; Wiley; Volume: 61; Issue: 12 Linguagem: Inglês

10.1002/cpa.20240

1097-0312

Ching‐Hsiao Cheng, Steve Shkoller, Daniel Coutand,

Computational Fluid Dynamics and Aerodynamics

Communications on Pure and Applied MathematicsVolume 61, Issue 12 p. 1715-1752 On the motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity Ching-Hsiao Cheng, Corresponding Author Ching-Hsiao Cheng [email protected] University of California at Davis, Department of Mathematics, Davis, CA 95616 Ching-Hsiao Cheng, The University of Maryland, CSCAMM, 4127 CSIC Building, #406 Paint Branch Drive, College Park, MD 20740 Daniel Coutand, Heriot-Watt University, School of Mathematical and Computer Sciences (MACS), Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS, United KingdomSearch for more papers by this authorSteve Shkoller, Steve Shkoller [email protected] University of California at Davis, Department of Mathematics, Davis, CA 95616Search for more papers by this authorDaniel Coutand, Corresponding Author Daniel Coutand [email protected] University of California at Davis, Department of Mathematics, Davis, CA 95616 Ching-Hsiao Cheng, The University of Maryland, CSCAMM, 4127 CSIC Building, #406 Paint Branch Drive, College Park, MD 20740 Daniel Coutand, Heriot-Watt University, School of Mathematical and Computer Sciences (MACS), Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS, United KingdomSearch for more papers by this author Ching-Hsiao Cheng, Corresponding Author Ching-Hsiao Cheng [email protected] University of California at Davis, Department of Mathematics, Davis, CA 95616 Ching-Hsiao Cheng, The University of Maryland, CSCAMM, 4127 CSIC Building, #406 Paint Branch Drive, College Park, MD 20740 Daniel Coutand, Heriot-Watt University, School of Mathematical and Computer Sciences (MACS), Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS, United KingdomSearch for more papers by this authorSteve Shkoller, Steve Shkoller [email protected] University of California at Davis, Department of Mathematics, Davis, CA 95616Search for more papers by this authorDaniel Coutand, Corresponding Author Daniel Coutand [email protected] University of California at Davis, Department of Mathematics, Davis, CA 95616 Ching-Hsiao Cheng, The University of Maryland, CSCAMM, 4127 CSIC Building, #406 Paint Branch Drive, College Park, MD 20740 Daniel Coutand, Heriot-Watt University, School of Mathematical and Computer Sciences (MACS), Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS, United KingdomSearch for more papers by this author First published: 29 January 2008 https://doi.org/10.1002/cpa.20240Citations: 33AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Ambrose, D. M. Well-posedness of vortex sheets with surface tension. SIAM J Math Anal 35 (2003), no. 1, 211–244. 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 Ebenfeld, S. L2-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, J.; 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. Citing Literature Volume61, Issue12December 2008Pages 1715-1752 ReferencesRelatedInformation