Equivalence of weak formulations of the steady water waves equations

zbMath1250.76043arXiv1105.1653MaRDI QIDQ4648634

Eugen Vărvărucă, Arghir Zarnescu

Publication date: 10 November 2012

Full work available at URL: https://arxiv.org/abs/1105.1653

zbMATH Keywords

vorticityweak solutionswater waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Weak solutions to PDEs (35D30)

Related Items (6)

Global bifurcation of steady gravity water waves with critical layers ⋮ Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results ⋮ Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents ⋮ Solitary water waves with discontinuous vorticity ⋮ Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity ⋮ Continuous dependence on the density for stratified steady water waves

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