On rotational water waves with surface tension

DOI10.1098/rsta.2007.2003zbMath1152.76341OpenAlexW2102452783WikidataQ51919926 ScholiaQ51919926MaRDI QIDQ5301941

Erik Wahlén

Publication date: 20 January 2009

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2007.2003

zbMATH Keywords

vorticitysurface tensionwater waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Abstract bifurcation theory involving nonlinear operators (47J15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

• The bifurcation and secondary bifurcation of capillary-gravity waves
• Linear second order elliptic equations with Venttsel boundary conditions
• Water waves for small surface tension: an approach via normal form