A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension

DOI10.1007/s00205-017-1205-1zbMath1397.35199arXiv1603.09189OpenAlexW3099897222MaRDI QIDQ1750303

Mark D. Groves, Erik Wahlén, Boris Buffoni

Publication date: 18 May 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09189

zbMATH Keywords

solitary wavesvariational principlesurface tensiontravelling wave solutionsfunctionalsgravity-capillary water wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Traveling wave solutions (35C07) Soliton solutions (35C08)

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