English

The moment of instability for internal solitary waves

Analysis of PDEs 2015-03-05 v2

Abstract

In this note, we define a moment of instability m(c) for internal solitary waves in continuously stratified fluids, which seems not to have been done before. To underline the suitability of the proposed moment of instability, we identify the relation m"(c)=0 as a formal Fredholm condition, and we show that m(c) displays a definite sign for small-amplitude waves.

Keywords

Cite

@article{arxiv.1503.00857,
  title  = {The moment of instability for internal solitary waves},
  author = {Andreas Klaiber},
  journal= {arXiv preprint arXiv:1503.00857},
  year   = {2015}
}