Instability results related to compresible Korteweg system
Résumé
This paper presents the study of surface tension effects in compressible mixtures in the framework of diffuse interface models. In the first part, we describe results previously obtained on the so--called compressible Korteweg and shallow water models and we present nonlinear stability using energy estimates and a new entropy equality recently discovered. These diffuse interface models also allow to take account of capillarity effects in turbulent mixtures and plasma flows subject to Rayleigh-Taylor instabilities. The aim of the last part is to study the influence of surface tension on this instability phenomena.
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