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.
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@article{CRMATH_2002__335_7_597_0, author = {Matei, Ana-Maria}, title = {The {Neumann} problem for free boundaries in two dimensions}, journal = {Comptes Rendus. Math\'ematique}, pages = {597--602}, publisher = {Elsevier}, volume = {335}, number = {7}, year = {2002}, doi = {10.1016/S1631-073X(02)02530-X}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02530-X/} }
TY - JOUR AU - Matei, Ana-Maria TI - The Neumann problem for free boundaries in two dimensions JO - Comptes Rendus. Mathématique PY - 2002 SP - 597 EP - 602 VL - 335 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02530-X/ DO - 10.1016/S1631-073X(02)02530-X LA - en ID - CRMATH_2002__335_7_597_0 ER -
%0 Journal Article %A Matei, Ana-Maria %T The Neumann problem for free boundaries in two dimensions %J Comptes Rendus. Mathématique %D 2002 %P 597-602 %V 335 %N 7 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02530-X/ %R 10.1016/S1631-073X(02)02530-X %G en %F CRMATH_2002__335_7_597_0
Matei, Ana-Maria. The Neumann problem for free boundaries in two dimensions. Comptes Rendus. Mathématique, Tome 335 (2002) no. 7, pp. 597-602. doi : 10.1016/S1631-073X(02)02530-X. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02530-X/
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