The linear and non linear Rayleigh-Taylor instability for the quasi isobaric profile
arXiv:0707.0045 · doi:10.1016/j.physd.2008.03.017
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