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

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

2007-06-30

arxiv.org/abs/0707.0045v1

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.physd.2008.03.017

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

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