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The Neumann problem for free boundaries in two dimensions. (English. Abridged French version) Zbl 1017.35090

Summary: 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.

MSC:

35Q35 PDEs in connection with fluid mechanics
35R35 Free boundary problems for PDEs
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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References:

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