Special Session 150: Water Waves and Beyond

Stratified Large-Amplitude Steady Periodic Water Waves with General Density
Giang To
Lund University
Sweden
Co-Author(s):    Giang To
Abstract:
By means of a conformal mapping and bifurcation theory, we prove the existence of large-amplitude steady stratified periodic water waves, with general density function, which may have critical layers and overhanging profiles. A nodal analysis is carried out for these solutions under certain assumption involving the Bernoulli function and the density.