| Abstract: |
| In this talk, I will introduce the stochastic Cahn--Hilliard equation with singular potential, variable mobility and driven by transport noise. In particular, the mobility is allowed to be degenerate. After illustrating some generalities concerning the model, results on the well-posedness of the system are addressed, in terms of existence and uniqueness of martingale and/or probabilistically-strong solutions. This is joint work with Andrea Papini (Chalmers University of Technology), Luca Scarpa (Politecnico di Milano) and Margherita Zanella (Politecnico di Milano). |
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