Speaker：Hao Wu（Fudan University）

Time：2021-06-28 15:30-17:45

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract:

The Cahn-Hilliard equation serves as an efficient mathematical tool for the study on dynamics of binary mixtures within the framework of diffuse interface models. In this talk, we shall review basic concepts of the Cahn-Hilliard equation and then present some recent progresses in its mathematical analysis. (1) We discuss the boundary effects and introduce a new class of dynamic boundary conditions that accounts for nontrivial short-range interactions near the solid wall; (2) We investigate a six order variant of the Cahn-Hilliard equation with logarithmic (singular) potential. For both cases, we prove the well-posedness and long-time behavior.