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

Olivier Lafitte (1, 2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 LIST (CEA) - Laboratoire d'Intégration des Systèmes et des Technologies

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

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Lafitte. The linear and non linear Rayleigh-Taylor instability for the quasi isobaric profile. 2007. ⟨hal-00158835⟩