Orateur
Hélène MATHIS
(IMAG, Université de Montpellier)
Description
We are interesting in modelling a flow with compressible bubbles by a homogeneisation method. At the microscopic scale, the fluid is described by the compressible Navier-Stokes system, while the bubbles behaviour is described individually. The novelty of the model relies in the fact that it takes into account the surface tension at the interfaces. Assuming that the number of bubbles diverges, we propose a construction of the macroscopic quantities.
We present the related system of macroscopic equations, which is composed by an evolution equation for the volume fraction and also by a kinetic equation for the distribution function of the bubbles. This is a joint work with M. Hillairet and N. Seguin.
