Stratified Steady Periodic Water Waves

Details Stratified Steady Periodic Water Waves Stratified Steady Periodic Water Waves

2008-07-03

arxiv.org/abs/0807.0474v3

Mathematics

Analysis of PDEs

49 pages, no figures

Scientific paper

This paper considers two-dimensional stratified water waves propagating under
the force of gravity over an impermeable flat bed and with a free surface. We
prove the existence of a global continuum of classical solutions that are
periodic and traveling. These waves, moreover, can exhibit large density
variation, speed and amplitude.

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