English

The linear and non linear Rayleigh-Taylor instability for the quasi isobaric profile

Analysis of PDEs 2009-11-13 v1

Abstract

We study the stability of the system of the Euler equation in the neighborhood of a stationary profile associated with the quasi isobaric model in a gravity field. This stationary profile is not bounded below, hence the operator is not coercive. We use this linear result to deduce a nonlinear result

Keywords

Cite

@article{arxiv.0707.0045,
  title  = {The linear and non linear Rayleigh-Taylor instability for the quasi isobaric profile},
  author = {Olivier Lafitte},
  journal= {arXiv preprint arXiv:0707.0045},
  year   = {2009}
}
R2 v1 2026-06-21T08:50:57.832Z