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Global regularity for the 3D finite depth capillary water waves

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Publication:5134224
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DOI10.24033/asens.2436zbMath1451.35142arXiv1611.05472OpenAlexW3147745995MaRDI QIDQ5134224

Xuecheng Wang

Publication date: 13 November 2020

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05472

zbMATH Keywords

global solutioncapillary wavesflat bottom


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07)


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Local well-posedness for the motion of a compressible gravity water wave with vorticity, Propagation of singularities for gravity-capillary water waves



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