The Neumann problem for free boundaries in two dimensions

Ana-Maria Matei

doi:10.1016/S1631-073X(02)02530-X

The Neumann problem for free boundaries in two dimensions
[Le problème de Neumann pour les frontières libres en deux dimensions]

Ana-Maria Matei ¹

¹ McMaster University, Department of Mathematics and Statistics, 1280 Main Street West, Hamilton, On L8S 4K1, Canada

Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 597-602.

Résumé
Abstract

Nous généralisons au cas avec tension superficielle un résultat de H. Lewy concernant la régularité a priori des solutions en ondes progressives pour le problème d'écoulements à surface libre.

We extend to the case with surface tension a theorem of H. Lewy concerning the a priori regularity of traveling waves solutions of the free surface problem of water waves.

Reçu le : 2002-07-25
Accepté le : 2002-08-09
Publié le : 2002-09-11

DOI : 10.1016/S1631-073X(02)02530-X

Affiliations des auteurs :

Ana-Maria Matei ¹

¹ McMaster University, Department of Mathematics and Statistics, 1280 Main Street West, Hamilton, On L8S 4K1, Canada

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Ana-Maria Matei. The Neumann problem for free boundaries in two dimensions. Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 597-602. doi : 10.1016/S1631-073X(02)02530-X. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02530-X/

Bibliographie
Cité par

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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
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
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