Research interests
My research focuses on the qualitative study of models describing the flow of immiscible fluid mixtures.These are classical fluid mechanics models, such as the compressible Euler equations, the Navier-Stokes equations (compressible and incompressible), as well as some models derived from them.
Since the components of the mixture are immiscible (for example, gas bubbles in a liquid), a zero-thickness interface separates them. The goal of my thesis is to study the dynamics of this interface, which includes, in particular, justifying the well-posedness of these models.