Speaker
Description
We propose a stochastic Cahn--Hilliard model driven by transport noise in order to describe phase-separation phenomena occurring in mixtures of
turbulent fluids. The model is analysed in its thermodynamically-relevant framework, namely employing a singular Flory--Huggins potential and a possibly degenerate mobility, and the noise is considered both in It\^o and Stratonovich form. As a first-step investigation, we establish well-posedness of the system in two and three spatial dimensions and its thermodynamical consistency. Several further developments are also discussed.
The works presented in the talk are based on joint collaborations with Andrea Di Primio (Scuola Normale Superiore, Pisa, Italy) and Andrea Papini (University of Gothenburg, Sweden).