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Stratified Steady Periodic Water Waves

Analysis of PDEs 2009-02-11 v3 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0807.0474,
  title  = {Stratified Steady Periodic Water Waves},
  author = {Samuel Walsh},
  journal= {arXiv preprint arXiv:0807.0474},
  year   = {2009}
}

Comments

49 pages, no figures

R2 v1 2026-06-21T10:57:01.294Z