English

The Cauchy problem on large time for the Water Waves equations with large topography variations

Analysis of PDEs 2014-07-17 v1

Abstract

We prove the local existence for the Water Waves equations with large bathymetric variations on a time interval of size 1/\epsilon, where ϵ\epsilon measures the amplitude of the wave. We just need the presence of surface tension.

Keywords

Cite

@article{arxiv.1407.4369,
  title  = {The Cauchy problem on large time for the Water Waves equations with large topography variations},
  author = {Benoît Mésognon-Gireau},
  journal= {arXiv preprint arXiv:1407.4369},
  year   = {2014}
}

Comments

30 pages

R2 v1 2026-06-22T05:05:35.264Z