| Abstract: |
| We give an overview of some recent results on stochastic
phase-field models with logarithmic potential, which cover
in particular the well-celebrated Cahn-Hilliard-Cook equation.
The proposed techniques allow to treat both the conservative
and the non-conservative cases, as well as degenerate and
non-degenerate mobilities. Well-posedness, regularity, and
long-time behaviour of solutions are discussed, with a mention
of uniqueness-by-noise too. In the last part of the talk, related
stochastic phase-field models will be presented, such as the
conservative Allen-Cahn equation and coupled systems of
Allen-Cahn-Navier-Stokes type.
The works presented in the talk are based on joint
collaborations with A.~Di Primio, Prof.~M.~Grasselli, and
Dr.~M.~Zanella (Politecnico di Milano, Italy). |
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