Comptes Rendus
no. 3-4
Partial Differential Equations
On the regularity of capillary water waves with vorticity
[Sur la regularité des ondes progressive périodiques avec vorticité]

Présenté par : Haïm Brezis

David Henry1
1 School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland
Comptes Rendus. Mathématique, Volume 349 (2011) no. 3-4, pp. 171-173.

We study the regularity of the streamlines and of the free-surface in a capillary water flow with underlying currents.

Nous étudions la regularité des lignes de courant et des ondes progressive périodiques avec tension superficielle pour le problème d'écoulement rotationnel de l'eau à surface libre.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.12.013

David Henry 1

1 School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland 
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David Henry. On the regularity of capillary water waves with vorticity. Comptes Rendus. Mathématique, Volume 349 (2011) no. 3-4, pp. 171-173. doi : 10.1016/j.crma.2010.12.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.12.013/

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  • Joachim Escher; Bogdan-Vasile Matioc Analyticity of Rotational Water Waves, Elliptic and Parabolic Equations, Volume 119 (2015), p. 111 | DOI:10.1007/978-3-319-12547-3_5
  • Calin Iulian Martin Local Bifurcation for Steady Periodic Capillary Water Waves with Constant Vorticity, Journal of Mathematical Fluid Mechanics, Volume 15 (2013) no. 1, p. 155 | DOI:10.1007/s00021-012-0096-z
  • Hua Chen; Wei-Xi Li; Ling-Jun Wang Regularity of Traveling Free Surface Water Waves with Vorticity, Journal of Nonlinear Science, Volume 23 (2013) no. 6, p. 1111 | DOI:10.1007/s00332-013-9181-6
  • Calin Iulian Martin Local bifurcation and regularity for steady periodic capillary–gravity water waves with constant vorticity, Nonlinear Analysis: Real World Applications, Volume 14 (2013) no. 1, p. 131 | DOI:10.1016/j.nonrwa.2012.05.007
  • Calin Iulian Martin Regularity of Steady Periodic Capillary Water Waves with Constant Vorticity, Journal of Nonlinear Mathematical Physics, Volume 19 (2012) no. Supplement 1, p. 51 | DOI:10.1142/s1402925112400062

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